Jack polynomials for the $B{C}_n$ root system and generalized spherical functions

Abstract

We give a construction for three parameter family of Jack polynolials for the root system $B{C}_n$ through the generalized spherical functions on the symmetric space $GL(m+n)/GL(m)\times GL(n)$.

24 pages

References in corpus (1)

• Quantum integrable systems and representations of Lie algebras

Cited by in corpus (1)

• Twisted spin Sutherland models from quantum Hamiltonian reduction