Classical limits of quantum toroidal and affine Yangian algebras
type: Item
instance of: scholarly article
title: Classical limits of quantum toroidal and affine Yangian algebras
zbMATH Open document ID: 1419.17024
published in: Journal of Pure and Applied Algebra
publication date: 2017-06-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1605.01314
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 6728866
author: Aleksander Tsymbaliuk
MaRDI profile type: Publication
OpenAlex ID: W2591040867
arXiv ID: 1605.01314
cites work: Quantum tori and the structure of elliptic quasi-simple Lie algebras
cites work: Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle
cites work: Representations of quantum toroidal \(\mathfrak{gl}_n\)
cites work: Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras
cites work: Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\)
cites work: Toroidal Lie algebras and vertex representations
cites work: The affine Yangian of \(\mathfrak{gl}_1\) revisited
cites work: Several realizations of Fock modules for toroidal \(\ddot {U}_{q,d}(\mathfrak {sl}_{n})\)
cites work: Homomorphisms between different quantum toroidal and affine Yangian algebras
cites work: Double-loop algebras and the Fock space
DOI: 10.1016/J.JPAA.2017.02.004
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description: scientific article