Several realizations of Fock modules for toroidal \(\ddot {U}_{q,d}(\mathfrak {sl}_{n})\)

DOI10.1007/s10468-017-9761-5zbMath1473.17044arXiv1603.08915OpenAlexW3122396113MaRDI QIDQ1737224

Aleksander Tsymbaliuk

Publication date: 27 March 2019

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08915

zbMATH Keywords

quantum toroidal algebrasshuffle algebrasL-operatorsFock modulevertex module

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (7)

Classical limits of quantum toroidal and affine Yangian algebras ⋮ The affine Yangian of \(\mathfrak{gl}_1\) revisited ⋮ Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum \(Q\)-systems ⋮ Level one Weyl modules for toroidal Lie algebras ⋮ \(\mathfrak{gl}_N\) Higgsed networks ⋮ Quiver Hall-Littlewood functions and Kostka-Shoji polynomials ⋮ A slow review of the AGT correspondence

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