Transactions of the American Mathematical Society

On restrictions of modular spin representations of symmetric and alternating groups

Author(s): Alexander S. Kleshchev; Pham Huu Tiep
Journal: Trans. Amer. Math. Soc. 356 (2004), 1971-1999.
MSC (2000): Primary 20C20, 20C30, 20C25; Secondary 20B35, 20B20
Posted: October 28, 2003
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Abstract: Let $\mathbb F$ be an algebraically closed field of characteristic

and

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

and $\mathbb F H$ -modules

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

is the Schur's double cover $\hat A_n$ or $\hat S_n$ .

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Alexander S. Kleshchev
Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
Email: klesh@math.uoregon.edu

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