Quantum orthogonal and symplectic groups and their embedding into quantum GL
type: Item
instance of: scholarly article
title: Quantum orthogonal and symplectic groups and their embedding into quantum GL
zbMATH Open document ID: 0694.16009
author: Mitsuhiro Takeuchi
published in: Proceedings of the Japan Academy. Series A
publication date: 1989-01-01T00:00:00Z
review text: Quantum orthogonal and symplectic groups \(O_ q(n)\) and \(Sp_ q(n)\) are defined, where q is an element of a field k. Their embeddings into q- analogues of GL(n) are considered. Similar constructions and results appear in a paper by \textit{N. Reshetikhin}, \textit{L. Takhtajan}, and \textit{L. Faddeev} [Algebraic analysis, Vol. 1, 129-139 (1989; Zbl 0677.17010)].
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 17B35
Mathematics Subject Classification ID: 81Q99
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 4136140
zbMATH Keywords: Quantum orthogonal and symplectic groups
zbMATH Keywords: embeddings
zbMATH Keywords: q-analogues of GL(n)
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
full work available at URL: pjaa.65.55
OpenAlex ID: W2005638878
cites work: Quantum R matrix for the generalized Toda system
cites work: Some remarks on Koszul algebras and quantum groups
cites work: Q5590089
DOI: 10.3792/PJAA.65.55
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description: scientific article; zbMATH DE number 4136140