Open Access
2012 Small-dimensional projective representations of symmetric and alternating groups
Alexander S. Kleshchev, Pham Huu Tiep
Algebra Number Theory 6(8): 1773-1816 (2012). DOI: 10.2140/ant.2012.6.1773

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.

Citation

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Alexander S. Kleshchev. Pham Huu Tiep. "Small-dimensional projective representations of symmetric and alternating groups." Algebra Number Theory 6 (8) 1773 - 1816, 2012. https://doi.org/10.2140/ant.2012.6.1773

Information

Received: 15 June 2011; Revised: 7 November 2011; Accepted: 15 December 2011; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1316.20007
MathSciNet: MR3033527
Digital Object Identifier: 10.2140/ant.2012.6.1773

Subjects:
Primary: 20C20
Secondary: 20E28 , 20G40

Keywords: double covers of symmetric groups , modular representation theory

Rights: Copyright © 2012 Mathematical Sciences Publishers

Vol.6 • No. 8 • 2012
MSP
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