期刊
ADVANCES IN MATHEMATICS
卷 374, 期 -, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2020.107340
关键词
Symmetric group; Alternating group; Double cover; Modular representation; Symmetric function; RoCK block
类别
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. (C) 2020 Elsevier Inc. All rights reserved.
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