Vol. 6, No. 8, 2012

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Small-dimensional projective representations of symmetric and alternating groups

Alexander S. Kleshchev and Pham Huu Tiep

Vol. 6 (2012), No. 8, 1773–1816
Abstract

We classify the irreducible projective representations of symmetric and alternating groups of minimal possible and second minimal possible dimensions, and get a lower bound for the third minimal dimension. On the way we obtain some new results on branching which might be of independent interest.

Keywords
double covers of symmetric groups, modular representation theory
Mathematical Subject Classification 2010
Primary: 20C20
Secondary: 20E28, 20G40
Milestones
Received: 15 June 2011
Revised: 7 November 2011
Accepted: 15 December 2011
Published: 14 December 2012
Authors
Alexander S. Kleshchev
Department of Mathematics
University of Oregon
Eugene, OR 97403-1222
United States
Pham Huu Tiep
Department of Mathematics
The University of Arizona
617 North Santa Rita Avenue
P.O. Box 210089
Tucson, AZ 85721-0089
United States