\(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
type: Item
instance of: scholarly article
title: \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
zbMATH Open document ID: 0735.17025
DOI: 10.1007/BF02099120
author: R. Floreanini
author: V. P. Spiridonov
author: Luc Vinet
published in: Communications in Mathematical Physics
publication date: 1992-06-25T00:00:00Z
review text: Using \(q\)-deformations of the Weyl algebra, or, equivalently, the \(q\)- analogues of boson operators, the so-called oscillator realisation of quantum enveloping algebras of classical Lie algebras can be constructed. Using this, and \(q\)-analogues of fermion operators, the authors construct realisations of quantum enveloping algebras of the Lie superalgebras \(sl(m/n)\) and \(osp(m/2n)\).
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17A70
zbMATH DE Number: 8322
zbMATH Keywords: quantum groups
zbMATH Keywords: oscillator realisation
zbMATH Keywords: quantum enveloping algebras
zbMATH Keywords: Lie superalgebras
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02099120
OpenAlex ID: W4240158127
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description: scientific article; zbMATH DE number 8322