Addition formula for q-disk polynomials |
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Authors: | PAUL G.A. FLORIS |
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Affiliation: | (1) Department of Mathematics and Computer Science, University of Leiden, P.O. Box 9512, 2300 RA Leiden, The Netherlands |
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Abstract: | Abstract. Explicit models are constructed for irreducible *-representations of the quantised universalenveloping algebra Uq(gl(n)). The irreducible decomposition of these modules with respect to thesubalgebra Uq(gl(n-1)) is given, and the corresponding spherical and associated spherical elementsare determined in terms of little q-Jacobi polynomials. This leads to a proof of an addition theoremfor the spherical elements, the so-called q-disk polynomials. |
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Keywords: | CQG algebras quantum unitary group quantized universal enveloping algebra spherical elements q-disk polynomials addition formula |
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