Euler characters and super Jacobi polynomials

Abstract

We prove that Euler supercharacters for orthosymplectic Lie superalgebras can be obtained as a certain specialization of super Jacobi polynomials. A new version of Weyl type formula for super Schur functions and specialized super Jacobi polynomials play a key role in the proof.

28 pages, substantially extended version

References in corpus (2)

• Limits of BC-type orthogonal polynomials as the number of variables goes to infinity
• Remarks on modules of the ortho-symplectic Lie superalgebras

Cited by in corpus (2)

• Calogero-Moser operators in infinite dimension
• Quantum Calogero-Moser systems: a view from infinity