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

Abstract

We prove that the deformed oscillator superalgebra $W_q(n)$ (which in the Fock representation is generated essentially by $n$ pairs of $q$-bosons) is a factor algebra of the quantized universal enveloping algebra $U_q[osp(1/2n)]$. We write down a $q$-analog of the Cartan-Weyl basis for the deformed $osp(1/2n)$ and give also an oscillator realization of all Cartan-Weyl generators.

8 pages, PlainTeX, University of Ghent, Dept. Math. Int. Report TWI-93-17

References in corpus (1)

• On a possible algebra morphism of U${}_q$[OSP(1/2N)] onto the deformed oscillator algebra W${}_q$(N)

Cited by in corpus (6)

• The quantum superalgebra $U_q[osp(1/2n)]$: deformed para-Bose operators and root of unity representations
• Quantization of U_q[so(2n+1)] with deformed para-Fermi operators
• Algebraic structure of the Green's ansatz and its q-deformed analogue
• Is it possible to extend the deformed Weyl algebra $W_q(n)$ to a Hopf algebra?
• New Solutions of the Yang-Baxter Equation Based on Root of 1 Representations of the Para-Bose Superalgebra U${}_q$[osp(1/2)]
• Quantisation of U${}_q$[OSP(1/2N)] with Deformed Para-Bose Operators