Combinatorics and Spherical Functions on the Heisenberg Group

Abstract

Let V be a finite dimensional Hermitian vector space and K be a compact Lie subgroup of U(V ) for which the representation of K on C[V ] is multiplicity free. One obtains a canonical basis {pα} for the space C[VR] of K-invariant polynomials on VR and also a basis {qα} via orthogonalization of the pα’s. The polynomial pα yields the homogeneous component of… (More)

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Cite this paper

@inproceedings{Benson1998CombinatoricsAS, title={Combinatorics and Spherical Functions on the Heisenberg Group}, author={Chal Benson}, year={1998} }