A normalization formula for the Jack polynomials in superspace and an identity on partitions

Mathematics – Combinatorics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

20 pages, 7 figures

Scientific paper

We prove a previously conjectured closed form formula for the norm of the Jack polynomials in superspace with respect to a certain scalar product. The proof is mainly combinatorial and relies on the explicit expression in terms of admissible tableaux of the non-symmetric Jack polynomials. In the final step of the proof appears an identity on weighted sums of partitions that we demonstrate using the methods of Gessel-Viennot.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A normalization formula for the Jack polynomials in superspace and an identity on partitions 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 A normalization formula for the Jack polynomials in superspace and an identity on partitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A normalization formula for the Jack polynomials in superspace and an identity on partitions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-174438

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.