Convex bases of PBW type for quantum affine algebras
type: Item
instance of: scholarly article
title: Convex bases of PBW type for quantum affine algebras
zbMATH Open document ID: 0828.17016
DOI: 10.1007/BF02099742
author: Jonathan Beck
published in: Communications in Mathematical Physics
publication date: 1995-02-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/9407003
review text: The author constructs a PBW-type basis for the affine untwisted quantized enveloping algebra of Drinfeld and Jimbo. The construction is done using braid group actions.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 20F36
zbMATH DE Number: 722095
zbMATH Keywords: quantum affine algebras
zbMATH Keywords: Poincaré-Birkhoff-Witt type basis
reviewed by: V. Lakshmibai
MaRDI profile type: Publication
arXiv ID: hep-th/9407003
cites work: Q5580319
cites work: A basis of type Poincaré-Birkhoff-Witt for the quantum algebra of \(\widehat{sl}(2)\)
cites work: On Drinfeld's realization of quantum affine algebras
cites work: Some applications of the quantum Weyl groups
cites work: The quantum Weyl group and the universal quantum \(R\)-matrix for affine Lie algebra \(A^{(1)}_ 1\)
cites work: Affine Hecke Algebras and Their Graded Version
cites work: Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
cites work: Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
description: scientific article