Mathematics – Representation Theory
Scientific paper
2006-08-12
Mathematics
Representation Theory
typos corrected
Scientific paper
Several methods of evaluation are presented for a family of Selberg-like integrals that arose in the computation of the algebraic-geometric degrees of a family of multiplicity-free nilpotent K_C-orbits. First, adapting the technique of Nishiyama, Ochiai and Zhu, we present an explicit evaluation in terms of certain iterated sums over permutations groups. Secondly, using the theory of symmetric functions we obtain an evaluation as a product of polynomial of fixed degree times a particular product of gamma factors (thereby identifying the asymptotics of the integrals with respect to their parameters). Lastly, we derive a recursive formula for evaluation of another general class of Selberg-like integrals, by applying some of the technology of generalized hypergeometric functions.
No associations
LandOfFree
On the evaluation of some Selberg-like integrals 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 On the evaluation of some Selberg-like integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the evaluation of some Selberg-like integrals will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-586544