Combinatorics and invariant theory of multiplicity free spaces

Details Combinatorics and invariant theory of multiplicity free spaces Combinatorics and invariant theory of multiplicity free spaces

2001-06-11

arxiv.org/abs/math/0106079v2

J. Algebra 260 (2003), 194-229

Mathematics

Representation Theory

36 pages, some typos corrected

Scientific paper

10.1016/S0021-8693(02)00633-6

We study the generalization of shifted Jack polynomials to arbitrary multiplicity free spaces. In a previous paper (math.RT/0006004) we showed that these polynomials are eigenfunctions for commuting difference operators. Our central result now is the "transposition formula", a generalization of Okounkov's binomial theorem (q-alg/9608021) for shifted Jack polynomials. From this formula, we derive an interpolation formula, an evaluation formula, a scalar product, a binomial theorem, and properties of the algebra generated by the multiplication and difference operators.

Affiliated with

Also associated with

No associations

Rating

Combinatorics and invariant theory of multiplicity free spaces 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 Combinatorics and invariant theory of multiplicity free spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorics and invariant theory of multiplicity free spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560732