Etingof Trace, Path Hypergeometric Functions and Integrable Systems

Details Etingof Trace, Path Hypergeometric Functions and Integrable Systems Etingof Trace, Path Hypergeometric Functions and Integrable Systems

2004-11-07

arxiv.org/abs/math/0411147v2

Mathematics

Quantum Algebra

54 pages;Replacing previous wrong file

Scientific paper

Under a certain condition, we find the explicit formulas for the trace functions of certain intertwining operators among gl(n)-modules, introduced by Etingof in connection with the solutions of the Calogero-Sutherland model. If n=2, the master function of the trace function is exactly the classical Gauss hypergeometric function. When n>2, the master functions of the trace functions are a new family of multiple hypergeometric functions, whose differential property and integral representation are dominated certain polynomials of integral paths connecting pairs of positive integers. Moreover, we define and explicitly find similar trace functions for sp(2n), which give rise to solutions of the Olshanesky-Perelomov model of type C. The master functions of the trace functions for sp(2n) are similar new multiple path hypergeometric functions. Analogous multiple path hypergeometric functions for orthogonal Lie algebras are defined and studied.

Affiliated with

Also associated with

No associations

Rating

Etingof Trace, Path Hypergeometric Functions and Integrable Systems 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 Etingof Trace, Path Hypergeometric Functions and Integrable Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Etingof Trace, Path Hypergeometric Functions and Integrable Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-25280