The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes | Paper Citation Record

Observation bdb2539f-3c57-4836-861a-2bb0a86f779e · outbound

This paper cites Bannai, Et.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Bannai, Et

Reference 1

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Observation a37073b6-4c14-4a96-9e2f-f26fc9d80772 · outbound

This paper cites Bannai, T.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Bannai, T

Reference 2

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Observation 327bfdb2-2d28-47b2-b03b-b7da3c597fdd · outbound

This paper cites The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and $U_q(sl_2)$.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and $U_q(sl_2)$

Reference 3

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Observation 5f5e151d-00b4-4f3f-82f5-fda40dfba247 · outbound

This paper cites Entanglement of Free Fermions on Hamming Graphs.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Entanglement of Free Fermions on Hamming Graphs

Reference 4

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Observation 0592cd84-5543-461e-92be-551cdb66bedf · outbound

This paper cites Entanglement of Free Fermions on Johnson Graphs.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Entanglement of Free Fermions on Johnson Graphs

Reference 5

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Observation dc97ea1c-4b47-4800-ab09-268c91739016 · outbound

This paper cites A $q$-version of the relation between the hypercube, the Krawtchouk chain and Dicke states.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes A $q$-version of the relation between the hypercube, the Krawtchouk chain and Dicke states

Reference 6

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 7

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 8

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Observation 151d7d4f-8c25-46c1-a369-190e0927e388 · outbound

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Reference 9

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Observation 210b2a01-bb09-44a3-ae39-025b129b9ad5 · outbound

This paper cites Structure of Thin Irreducible Modules of a Q-polynomial Distance-Regular Graph.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Structure of Thin Irreducible Modules of a Q-polynomial Distance-Regular Graph

Reference 10

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Observation 5caa5ab0-1880-4a37-adfa-7df608c3d837 · outbound

This paper cites Entanglement of Free Fermions on Hadamard Graphs.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Entanglement of Free Fermions on Hadamard Graphs

Reference 11

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 12

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Observation 5cd2113e-89ca-4418-95be-c6d052818b62 · outbound

This paper cites Curtin and K.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Curtin and K

Reference 13

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Observation 69596cfb-19be-4602-a6a3-4625acc391c2 · outbound

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 14

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Observation 92181ffa-26c3-4cee-be4c-aa5a91fa9604 · outbound

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 15

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 16

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Observation 397bd987-3a99-4951-95d1-33222199ad36 · outbound

This paper cites Curtin and K.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Curtin and K

Reference 17

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Observation 535350b5-bddd-4a81-9ed9-c28e4a795054 · outbound

This paper cites Curtis and I.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Curtis and I

Reference 18

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Observation f0d16c5b-b8b1-4e54-9e7e-45ee489cf7a5 · outbound

This paper cites Distance-regular graphs.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Distance-regular graphs

Reference 19

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Observation 0bb6c24e-a7e0-44b0-ab16-75eb470e79bd · outbound

This paper cites An introduction to multivariate Krawtchouk polynomials and their applications.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes An introduction to multivariate Krawtchouk polynomials and their applications

Reference 20

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Observation 5cfaf118-1a10-45f7-90b1-3366d9d53d51 · outbound

This paper cites On a characterization of the Grassmann graphs.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes On a characterization of the Grassmann graphs

Reference 21

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Observation 6823c0ab-9862-4387-8d5d-edfddf541916 · outbound

This paper cites Gijswijt, A.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Gijswijt, A

Reference 22

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Observation aeaabe1f-9b92-4fba-8351-5f2f461be903 · outbound

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 23

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Observation 3adabd6f-2774-4704-8d45-2a21499f5718 · outbound

This paper cites Multivariate Krawtchouk polynomials and composition birth and death processes.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Multivariate Krawtchouk polynomials and composition birth and death processes

Reference 24

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Observation ae470a74-666a-42d4-9430-077e3cbc67e5 · outbound

This paper cites Humphreys.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Humphreys

Reference 25

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 26

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Observation 37750520-62c5-434f-9bcf-db2c73a2af82 · outbound

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 27

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Observation 2caf168c-a6db-4763-8bb1-3fe387b86708 · outbound

This paper cites Ito and P.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Ito and P

Reference 28

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Observation 61f12193-76b3-4e5a-9a71-265a8c7e2b07 · outbound

This paper cites Distance-regular graphs of $q$-Racah type and the $q$-tetrahedron algebra.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Distance-regular graphs of $q$-Racah type and the $q$-tetrahedron algebra

Reference 29

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Observation 414f5481-67ae-419f-a85e-eeb86fe81376 · outbound

This paper cites The augmented tridiagonal algebra.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes The augmented tridiagonal algebra

Reference 30

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 31

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Observation 99bb1aef-b54f-400f-bd8b-6015a39cb315 · outbound

This paper cites Koekoek, P.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Koekoek, P

Reference 32

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Observation 5fd6a6dd-da7e-4270-b36a-2c816763bc17 · outbound

This paper cites $Q$-polynomial distance-regular graphs and a double affine Hecke algebra of rank one.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes $Q$-polynomial distance-regular graphs and a double affine Hecke algebra of rank one

Reference 33

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Observation 74ff8c5b-e785-4a2b-8b11-499f6a047d61 · outbound

This paper cites Nonsymmetric Askey-Wilson polynomials and $Q$-polynomial distance-regular graphs.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Nonsymmetric Askey-Wilson polynomials and $Q$-polynomial distance-regular graphs

Reference 34

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Observation 713bc317-5f79-43f4-a92e-f009c0a20f82 · outbound

This paper cites Dual Polar Graphs, a nil-DAHA of Rank One, and Non-Symmetric Dual q-Krawtchouk Polynomials.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Dual Polar Graphs, a nil-DAHA of Rank One, and Non-Symmetric Dual q-Krawtchouk Polynomials

Reference 35

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Observation 45c05d16-b27d-4ad1-9977-60aec946dbe2 · outbound

This paper cites Grassmann graphs, degenerate DAHA, and non-symmetric dual $q$-Hahn polynomials.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Grassmann graphs, degenerate DAHA, and non-symmetric dual $q$-Hahn polynomials

Reference 36

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Observation f032fdd0-bca5-4667-9638-1f445b84d551 · outbound

This paper cites Liang, T.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Liang, T

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:02.781394Z

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Observation a300e024-1480-47cb-80aa-a6a1e0292d10 · outbound

This paper cites Liang, Y.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Liang, Y

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:02.767236Z

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Observation 67b430c2-db84-473c-aaf6-5cf8899736c4 · outbound

This paper cites Orthogonality Relations for Multivariate Krawtchouk Polynomials.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Orthogonality Relations for Multivariate Krawtchouk Polynomials

Reference 39

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Observation e1195b4f-96d2-4830-b6d9-4f5955feb998 · outbound

This paper cites Mizukawa and H.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Mizukawa and H

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:02.752444Z

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Observation 51a672ea-84ee-44ae-92ea-c21bb59be11d · outbound

This paper cites The Generalized Terwilliger Algebra of the Hypercube.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes The Generalized Terwilliger Algebra of the Hypercube

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:47:02.184777Z

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Observation 841d40e2-b554-4045-82f9-002b77b86ecf · outbound

This paper cites Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs

Reference 42

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Observation a0cc1565-ff3f-4978-841d-b57c6080d5bb · outbound

This paper cites Leonard pairs, spin models, and distance-regular graphs.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Leonard pairs, spin models, and distance-regular graphs

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T23:47:01.814013Z

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Observation 78d0e043-c1a2-4d78-b4fb-7e5a32590213 · outbound

This paper cites Spin models and distance-regular graphs of $q$-Racah type.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Spin models and distance-regular graphs of $q$-Racah type

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:47:02.134860Z

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Observation e70feeb7-b35f-4063-a859-b0cf40cc06de · outbound

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:47:02.738943Z

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Observation f7041e59-c69f-45f5-b683-f0aa45f11818 · outbound

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The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:47:02.724157Z

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Observation 5cc4a65d-a7c4-4b56-b0f1-80b59ef588b2 · outbound

This paper cites Multivariate Kawtchouk polynomials as Birth and Death polynomials.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Multivariate Kawtchouk polynomials as Birth and Death polynomials

Reference 47

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Observation 149c236b-c946-44eb-914d-662a4aa940a8 · outbound

This paper cites Schrijver.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Schrijver

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:02.710318Z

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Observation 47c55d1b-6632-4339-892c-4c61d7015d7b · outbound

This paper cites A generalization of the Askey-Wilson relations using a projective geometry.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes A generalization of the Askey-Wilson relations using a projective geometry

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:47:02.099265Z

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Observation 98617b95-0e49-44f5-896f-4628bb492550 · outbound

This paper cites New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:47:02.076655Z

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Observation 51f99d5e-f274-45fd-b504-28e755999abd · outbound

This paper cites Terwilliger.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Terwilliger

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:02.695770Z

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Observation 8ca9758a-de5d-4266-801b-2bf63260945c · outbound

This paper cites Terwilliger.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Terwilliger

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:02.681172Z

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Observation 4543f1ed-e417-4ccf-ab5a-c232946d6236 · outbound

This paper cites Terwilliger.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Terwilliger

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:02.666501Z

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Observation 81e22421-00cd-4f13-9774-620b78ff9b0a · outbound

This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-15T23:47:01.866206Z

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Observation 27558796-65a1-4aea-b829-94e4f17cfbe0 · outbound

This paper cites Tridiagonal pairs, alternating elements, and distance-regular graphs.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Tridiagonal pairs, alternating elements, and distance-regular graphs

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-15T23:47:01.870964Z

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Observation b585f78c-cbb6-46e3-9cca-0483fb597b58 · outbound

This paper cites Distance-regular graphs, the subconstituent algebra, and the $Q$-polynomial property.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Distance-regular graphs, the subconstituent algebra, and the $Q$-polynomial property

Reference 56

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Observation afc2fd91-f519-48fe-b099-9e7e4bad2edb · outbound

This paper cites Terwilliger.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Terwilliger

Reference 57

Resolution: verified exact; raw_fallback, observed 2026-08-15T23:47:02.007599Z

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Observation 001e899f-1106-4749-bd8f-ee587cf94f18 · outbound

This paper cites Dual polar graphs, the quantum algebra U_q(sl_2), and Leonard systems of dual q-Krawtchouk type.

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes Dual polar graphs, the quantum algebra U_q(sl_2), and Leonard systems of dual q-Krawtchouk type

Reference 58

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