Quantisation of U_q[OSP(1/2N)] with Deformed Para-Bose Operators

1993/06/03 by T. D. Palev
Physics and Astronomy · #hep-th

paper · pdf

published as J.Phys. A26 (1993) L1111-L1116 · 7 pages, TeX, Preprint TWI-93-24 University of Ghent

arxiv created 1993/06/03 · arxiv updated 2009/11/30

Abstract

The observation that n pairs of para-Bose (pB) operators generate the universal enveloping algebra of the orthosymplectic Lie superalgebra osp(1/2n) is used in order to define deformed pB operators. It is shown that these operators are an alternative to the Chevalley generators. On this background U_q[osp(1/2n)], its "Cartan-Weyl" generators and their "supercommutation" relations are written down entirely in terms of deformed pB operators. An analog of the Poincare- Birkhoff-Witt theorem is formulated.

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