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

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

1993-05-16

arxiv.org/abs/hep-th/9305071v1

Lett.Math.Phys. 28 (1993) 321-328

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/BF00761500

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.

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