A duality of the twisted group algebra of the symmetric group and a Lie superalgebra

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let A_k denote the twisted group algebra of the symmetric group S_k, whose representations correspond to the nonlinear projective representations of S_k. We establish a duality relation between A_k and a Lie superalgebra q(n), sometimes called the ``queer'' Lie superalgebra. This duality clarifies Schur's formula, in the sense that the Schur-Weyl duality clarifies Frobenius' formula.
AMS-TeX, 22 pages, submitted to Journal of Algebra

Keywords

Representation Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/77714

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9811090
 http://arxiv.org/abs/math/9811090

Collections

arXiv