\(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
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 \(osp(m/2n)\).
scientific article; zbMATH DE number 8322
scientific article