On Kronecker products of spin characters of the double covers of the symmetric groups

Christine Bessenrodt and Alexander S. Kleshchev

Vol. 198 (2001), No. 2, 295–306

DOI: 10.2140/pjm.2001.198.295

Abstract

In this article, restrictions on the constituents of Kronecker products of spin characters of the double covers of the symmetric groups are derived. This is then used to classify homogeneous and irreducible products of spin characters; as an application of this, certain homogeneous 2-modular tensor products for the symmetric groups are described.

Milestones

Received: 16 July 1999

Revised: 1 October 1999

Published: 1 April 2001