Small-dimensional projective representations of symmetric and alternating groups

2011/06/16 by Kleshchev, Alexander S., Tiep, Pham Huu
#20C20 #20E28 #20G40 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1106.3123

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.

Related

• Irreducible restrictions of representations of symmetric and alternating\n groups in small characteristics
• Dimensions of the irreducible representations of the symmetric and\n alternating group
• Representations of extensions of simple groups
• Lower bounds for dimensions of irreducible representations of symmetric groups
• Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems