Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models | Paper Citation Record

Observation f6a00ea3-bb5b-4363-acac-2de506c205d6 · outbound

This paper cites Quantum Trace Formulae for the Integrals of the Hyperbolic Ruijsenaars-Schneider model.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Quantum Trace Formulae for the Integrals of the Hyperbolic Ruijsenaars-Schneider model

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:44.961850Z

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Observation acf64765-fb25-4b29-8683-6e8ce3de43b7 · outbound

This paper cites Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T14:58:41.499765Z

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Observation 6809a83b-8ee1-4aae-8cb2-d62da77e776f · outbound

This paper cites Balog, L.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Balog, L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.850927Z

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Observation 10f806b4-b4ad-4c8b-8b69-5f642ba8bf63 · outbound

This paper cites On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:44.795314Z

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Observation cce0de29-8302-4b76-b01a-df9775ec99cc · outbound

This paper cites Affine Toda Solitons and Systems of Calogero-Moser Type.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Affine Toda Solitons and Systems of Calogero-Moser Type

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:44.733976Z

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Observation 63d0ea91-258b-4de4-b5ff-b4877935626e · outbound

This paper cites Calogero, Solution of the one-dimensional N-body problem with quadra tic and/or in- versely quadratic pair potentials , J.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Calogero, Solution of the one-dimensional N-body problem with quadra tic and/or in- versely quadratic pair potentials , J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.838576Z

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Observation 9bb8e65b-398e-4c40-8d76-903423290d27 · outbound

This paper cites Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T14:58:41.766234Z

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Observation 3765ed94-86a1-428d-9910-36b672721f27 · outbound

This paper cites On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T14:58:41.770452Z

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Observation eed17f07-26a5-4f6a-975a-d29c177bc9cf · outbound

This paper cites Spherical functions on affine Lie groups.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Spherical functions on affine Lie groups

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:44.689013Z

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Observation 73029019-c05f-4d12-b636-e4823116bafd · outbound

This paper cites Geometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Geometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:44.671227Z

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Observation 250faff7-1632-417c-94ef-913c4a169aeb · outbound

This paper cites Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:44.653416Z

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Observation 632a53d5-655f-4947-9b16-80c7b6c5a677 · outbound

This paper cites Bi-Hamiltonian geometry and canonical spectral coordinates for the Rational Calogero-Moser system.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Bi-Hamiltonian geometry and canonical spectral coordinates for the Rational Calogero-Moser system

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:44.637197Z

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Observation 0de2f24e-06c1-4fff-929a-15d9fd7d7b27 · outbound

This paper cites Poisson-Lie analogues of spin Sutherland models.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Poisson-Lie analogues of spin Sutherland models

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:44.618570Z

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Observation 45bb099f-dd45-4b56-bf6c-2ab419424c22 · outbound

This paper cites Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:42.847294Z

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Observation f9fd5dea-b871-495b-ab77-c0a1d80197ee · outbound

This paper cites Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:42.774778Z

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Observation 5b62556e-b330-4aa6-b4c1-3da255121a76 · outbound

This paper cites Poisson-Lie interpretation of trigonometric Ruijsenaars duality.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Poisson-Lie interpretation of trigonometric Ruijsenaars duality

Reference 16

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Observation eacd6af5-ff5c-4e61-b8f1-c1fe671158f3 · outbound

This paper cites Spin Calogero models obtained from dynamical r-matrices and geodesic motion.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Spin Calogero models obtained from dynamical r-matrices and geodesic motion

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:42.700748Z

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Observation fcca8fc7-5780-4b3a-ab7c-02ae423cc03b · outbound

This paper cites Poisson structure on moduli of flat connections on Riemann surfaces and $r$-matrix.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Poisson structure on moduli of flat connections on Riemann surfaces and $r$-matrix

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T14:58:41.996625Z

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Observation 18b24902-5bff-4e17-bcfb-5dd4b8577b64 · outbound

This paper cites Gibbons and T.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Gibbons and T

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.724100Z

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Observation b79cfd40-74bd-4746-b672-06a72aefa738 · outbound

This paper cites Kazhdan, B.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Kazhdan, B

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.624562Z

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Observation 50392f58-a254-49ce-863f-f72658782e1b · outbound

This paper cites Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types spins.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types spins

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T14:58:42.123975Z

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Observation 422db7cd-1349-48e7-beba-c7a85f624694 · outbound

This paper cites On moment maps associated to a twisted Heisenberg double.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models On moment maps associated to a twisted Heisenberg double

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T14:58:42.128836Z

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Observation 54e258ba-d583-4bca-813c-1e924f97c199 · outbound

This paper cites Korogodski and Y.S.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Korogodski and Y.S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.595088Z

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Observation 3aaca92d-772c-4265-9952-212ff55812de · outbound

This paper cites Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T14:58:42.138038Z

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Observation a6db0638-1a7b-4446-9b5d-2a313d9356a3 · outbound

This paper cites Poisson involutions, spin Calogero-Moser systems associated with symmetric Lie subalgebras and the symmetric space spin Ruijsenaars-Schneider models.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Poisson involutions, spin Calogero-Moser systems associated with symmetric Lie subalgebras and the symmetric space spin Ruijsenaars-Schneider models

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:42.632199Z

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Observation 5f98ab58-82a9-4324-a244-6e0d8cf67b7a · outbound

This paper cites Integrable spin Calogero-Moser systems.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Integrable spin Calogero-Moser systems

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:42.613400Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6309dec7-ceb9-4420-bd1b-0b9e3a4a7e4d · outbound

This paper cites Lu, Momentum mappings and reduction of Poisson actions , pp.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Lu, Momentum mappings and reduction of Poisson actions , pp

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.584316Z

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Observation a2d65529-c700-413d-8796-5d41d6e81c18 · outbound

This paper cites Moser, Three integrable Hamiltonian systems connected with isosp ectral deformations, Adv.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Moser, Three integrable Hamiltonian systems connected with isosp ectral deformations, Adv

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.572722Z

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Observation 493411cc-b06d-41bb-a4fe-bc5625283cb1 · outbound

This paper cites Nekrasov, Inﬁnite-dimensional algebras, many-body systems and gaug e theories , pp.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Nekrasov, Inﬁnite-dimensional algebras, many-body systems and gaug e theories , pp

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.560982Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5bc1ba11-ed14-4cbc-99c1-eaf47307ea3b · outbound

This paper cites Oblomkov, Double aﬃne Hecke algebras and Calogero–Moser spaces , Represent.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Oblomkov, Double aﬃne Hecke algebras and Calogero–Moser spaces , Represent

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.547747Z

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Observation 6e5005c7-447f-466d-8de5-26ac3d651c12 · outbound

This paper cites Ortega and T.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Ortega and T

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.532904Z

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Observation 756496ed-8ca8-45f6-bd3b-b12e51258e23 · outbound

This paper cites Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T14:58:42.244930Z

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Observation 43ee30f8-5875-4331-9d64-5d4efcc4590b · outbound

This paper cites Degenerately Integrable Systems.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Degenerately Integrable Systems

Reference 33

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Observation 6180ea2c-bd02-41ab-b7ad-ccd3e4aea684 · outbound

This paper cites Spin Calogero-Moser models on symmetric spaces.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Spin Calogero-Moser models on symmetric spaces

Reference 34

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Observation a75262b7-83f9-4d2a-89c3-83bd38ec16a4 · outbound

This paper cites Roubtsov and T.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Roubtsov and T

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.472484Z

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Observation 3b8a8e2e-8986-426d-a619-d47835ebc55c · outbound

This paper cites Rudolph and M.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Rudolph and M

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.390625Z

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Observation 884d3c77-a55e-4a6d-9741-23ad66d1756f · outbound

This paper cites Ruijsenaars, Systems of Calogero–Moser type , pp.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Ruijsenaars, Systems of Calogero–Moser type , pp

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.372904Z

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Observation d013c871-e09f-4e5e-919b-b5165c76650c · outbound

This paper cites Ruijsenaars and H.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Ruijsenaars and H

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.357851Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d6801bd0-8110-4a2f-98c7-f004a2884a5b · outbound

This paper cites From Spinning Conformal Blocks to Matrix Calogero-Sutherland Models.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models From Spinning Conformal Blocks to Matrix Calogero-Sutherland Models

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-14T14:58:42.273121Z

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Observation 92334a67-7e38-46a2-b5ad-0e7e7eca0517 · outbound

This paper cites Schwartz, Smooth functions invariant under the action of a compact Lie group, Topology 14 (1975) 63-68.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Schwartz, Smooth functions invariant under the action of a compact Lie group, Topology 14 (1975) 63-68

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.343870Z

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Observation b23b4d56-9ea1-4d83-b90a-bd45ce88c728 · outbound

This paper cites Semenov-Tian-Shansky, Dressing transformations and Poisson group actions , Publ.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Semenov-Tian-Shansky, Dressing transformations and Poisson group actions , Publ

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.327546Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3a60097a-b30f-43bb-aab2-6f493101a70f · outbound

This paper cites A simple way of making a Hamiltonian system into a bi-Hamiltonian one.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models A simple way of making a Hamiltonian system into a bi-Hamiltonian one

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:42.541541Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c35f32fb-ab94-4d27-a49e-fe0f28703b05 · outbound

This paper cites Sjamaar and E.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Sjamaar and E

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.312190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6d833f14-62be-41d7-8cb9-6dfd06efc81d · outbound

This paper cites Smirnov, Bi-Hamiltonian formalism: A constructive approach , Lett.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Smirnov, Bi-Hamiltonian formalism: A constructive approach , Lett

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.241811Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8b698295-b797-43eb-9310-ad0d9f546b48 · outbound

This paper cites Why are the rational and hyperbolic Ruijsenaars-Schneider hierarchies governed by the same R-operators as the Calogero-Moser ones?.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Why are the rational and hyperbolic Ruijsenaars-Schneider hierarchies governed by the same R-operators as the Calogero-Moser ones?

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:42.522842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 658f5a55-902c-4927-aa1c-8e4f0fa5497d · outbound

This paper cites Sutherland, Exact results for a quantum many-body problem in one dimensi on, Phys.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Sutherland, Exact results for a quantum many-body problem in one dimensi on, Phys

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.103488Z

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Observation 2db55b1b-0a14-410f-a5e7-349837bf6977 · outbound

This paper cites van Diejen and L.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models van Diejen and L

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.089384Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9794607a-f413-4b1d-a7e6-9b9360bb61ad · outbound

This paper cites Wojciechowski, An integrable marriage of the Euler equation with the Caloge ro–Moser system, Phys.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Wojciechowski, An integrable marriage of the Euler equation with the Caloge ro–Moser system, Phys

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:58:45.076260Z

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Observation 7f507fcf-67cf-4c3b-92e0-2e9d58bbf998 · outbound

This paper cites Free motion on the Poisson SU(n) group.

Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models Free motion on the Poisson SU(n) group

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:42.498909Z

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