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