Quantum super spheres and their transformation groups, representations, and little $t$-Jacobi polynomials

Details Quantum super spheres and their transformation groups, representations, and little $t$-Jacobi polynomials Quantum super spheres and their transformation groups, representations, and little $t$-Jacobi polynomials

2006-08-22

arxiv.org/abs/math/0608559v1

J of Alg. 267 (2003), 178-198

Mathematics

Quantum Algebra

AMS-Tex, preprint 18 pages

Scientific paper

Quantum super 2-shpheres and the corresponding quantum super transformation
group are introduced in analogy to the well-known quantum 2-shpheres and
quantum SL(2), connection between little $t$-Jacobi polynomials and the finite
dimensional representations of the quantum super group is formulated, and the
Peter-Weyl theorem is obtained.

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