Quantization of U_q[so(2n+1)] with deformed para-Fermi operators

Abstract

The observation that n pairs of para-Fermi (pF) operators generate the universal enveloping algebra of the orthogonal Lie algebra so(2n+1) is used in order to define deformed pF operators. It is shown that these operators are an alternative to the Chevalley generators. On this background Uq[so(2n+1)] and its "Cartan-Weyl" generators are written down entirely in terms of deformed pB operators.

plain TeX, Preprint INRNE-TH-93/7, 6 p

References in corpus (1)

• A Superalgebra Morphism of Uq[OSP(1/2N)] onto the Deformed Oscillator Superalgebra Wq(N)

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• Algebraic structure of the Green's ansatz and its q-deformed analogue
• Unitarizable Representations of the Deformed Para-Bose Superalgebra Uq[osp(1/2)] at Roots of 1
• Bosonisation and Parastatistics: An Example and an Alternative Approach
• Fuzzy Torus via q-Parafermion
• Jacobson generators of the quantum superalgebra $U_q[sl(n+1|m)]$ and Fock representations