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James’ regularization theorem for double covers of symmetric groups. (English) Zbl 1112.20009
Summary: This paper is concerned with the modular representation theory of Schur’s double covers of symmetric groups. We establish an analogue of James’ regularization theorem, which describes leading terms for branching multiplicities and decomposition numbers with respect to the usual dominance ordering.

20C30 Representations of finite symmetric groups
05E10 Combinatorial aspects of representation theory
20C20 Modular representations and characters
Full Text: DOI
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