On restrictions of modular spin representations of symmetric and alternating groups

Kleshchev, Alexander; Tiep, Pham

doi:10.1090/S0002-9947-03-03364-6

On restrictions of modular spin representations of symmetric and alternating groups
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by Alexander S. Kleshchev and Pham Huu Tiep PDF

Trans. Amer. Math. Soc. 356 (2004), 1971-1999 Request permission

Abstract:

Let $\mathbb F$ be an algebraically closed field of characteristic $p$ and $H$ be an almost simple group or a central extension of an almost simple group. An important problem in representation theory is to classify the subgroups $G$ of $H$ and $\mathbb F H$-modules $V$ such that the restriction $V{\downarrow }_G$ is irreducible. For example, this problem is a natural part of the program of describing maximal subgroups in finite classical groups. In this paper we investigate the case of the problem where $H$ is the Schur’s double cover $\hat A_n$ or $\hat S_n$.

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