Intertwining Operators And Quantum Homogeneous Spaces

Details Intertwining Operators And Quantum Homogeneous Spaces Intertwining Operators And Quantum Homogeneous Spaces

1995-11-13

arxiv.org/abs/q-alg/9511007v1

Mathematics

Quantum Algebra

20 pages. The general subject is quantum groups. The paper is written in LaTeX

Scientific paper

10.1007/BF02070867

In the present paper the algebras of functions on quantum homogeneous spaces
are studied. The author introduces the algebras of kernels of intertwining
integral operators and constructs quantum analogues of the Poisson and Radon
transforms for some quantum homogeneous spaces. Some applications and the
relation to $q$-special functions are discussed.

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