Pith. sign in

REVIEW 2 cited by

Quantum toroidal and shuffle algebras

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1302.6202 v5 pith:IZZGGDTS submitted 2013-02-25 math.RT math.AGmath.QA

Quantum toroidal and shuffle algebras

Andrei Negu\c{t} This is my paper
classification math.RT math.AGmath.QA
keywords algebraquantumshuffletoroidalprovealgebrasallowcyclic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

In this paper, we prove that the quantum toroidal algebra of gl_n is isomorphic to the double shuffle algebra of Feigin and Odesskii for the cyclic quiver. The shuffle algebra viewpoint will allow us to prove a factorization formula for the universal R-matrix of the quantum toroidal algebra.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Athinization of irreducible $\widehat{\mathfrak{gl}}_n$-modules with dominant highest weights

    math.RT 2026-07 accept novelty 6.5

    Irreducible affine gl_n-modules with dominant highest weights become thin Yangian modules via restriction of periodic Gelfand-Tsetlin patterns to a permitted subset.

  2. Quiver Yangians as Coulomb branch algebras

    hep-th 2025-02 unverdicted novelty 6.0

    Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.