James' regularization theorem for double covers of symmetric groups

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Abstract

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. © 2006 Elsevier Inc. All rights reserved.

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Brundan, J., & Kleshchev, A. (2006). James’ regularization theorem for double covers of symmetric groups. Journal of Algebra, 306(1), 128–137. https://doi.org/10.1016/j.jalgebra.2006.01.055

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