Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians

Details Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians

2009-11-26

arxiv.org/abs/0911.5123v1

Mathematics

Representation Theory

Scientific paper

We study convolution algebras associated with Heckman-Opdam polynomials. For root systems of type BC we derive three continuous classes of positive convolution algebras (hypergroups) by interpolating the double coset convolution structures of compact Grassmannians U/K with fixed rank over the real, complex or quaternionic numbers. These convolution algebras are linked to explicit positive product formulas for Heckman-Opdam polynomials of type BC, which occur for certain discrete multiplicities as the spherical functions of U/K. These results complement those of a recent paper by the second author for the non-compact case.

Affiliated with

Also associated with

No associations

Rating

Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116961