Irreducible projective representations of the alternating group which remain irreducible in characteristic 2
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Publication:6336897
DOI10.1016/J.AIM.2020.107340arXiv2003.07713MaRDI QIDQ6336897
Publication date: 17 March 2020
Abstract: For any finite group G it is an interesting question to ask which ordinary irreducible representations of G remain irreducible in a given characteristic p. We answer this question for p=2 when G is the proper double cover of the alternating group. As a key ingredient in the proof, we prove a formula for the decomposition numbers in Rouquier blocks of double covers of symmetric groups, in terms of Schur P-functions.
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Projective representations and multipliers (20C25)
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