Factorial supersymmetric Schur functions and super Capelli identities

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A factorial analogue of the supersymmetric Schur functions is introduced. It is shown that factorial versions of the Jacobi--Trudi and Sergeev--Pragacz formulae hold. The results are applied to construct a linear basis in the center of the universal enveloping algebra for the Lie superalgebra gl(m|n) and to obtain super-analogues of the higher Capelli identities.
AMS-Tex, 40 pages

Keywords

Quantum Algebra, 05A15 (Primary) 17A70 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/153559

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/q-alg/9606008
 http://arxiv.org/abs/q-alg/9606008

Collections

arXiv