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Evaluation modules for quantum toroidal \(\mathfrak{gl}_n\) algebras

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Publication:2090735
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DOI10.1007/978-3-030-63849-8_12OpenAlexW2921085278MaRDI QIDQ2090735

Michio Jimbo, Boris L. Feigin, Evgenii E. Mukhin

Publication date: 31 October 2022

Full work available at URL: https://arxiv.org/abs/1709.01592


Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Cluster algebras (13F60)




Cites Work

  • Branching rules for quantum toroidal \(\mathfrak{gl}_n\)
  • Representations of quantum toroidal \(\mathfrak{gl}_n\)
  • Quantum continuous \(\mathfrak{gl}_{\infty}\): semiinfinite construction of representations
  • Quantum toroidal and shuffle algebras
  • A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
  • Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\)
  • Yangians and Gelfand-Zetlin bases
  • Plane partitions with a ``pit: generating functions and representation theory
  • Affinization of category $\mathcal {O}$ for quantum groups
  • Toroidal and level 0 Uq′(sln+1∧) actions on Uq(gln+1∧) modules
  • Towards trigonometric deformation of sl^2 coset VOA
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