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• W2199270623 abstract "The maximal subgroup of unipotent upper-triangular matrices of the finite general linear groups are a fundamental family of $p$-groups. Their representation theory is well-known to be wild, but there is a standard supercharacter theory, replacing irreducible representations by super-representations, that gives us some control over its representation theory. While this theory has a beautiful underlying combinatorics built on set partitions, the structure constants of restricted super-representations remain mysterious. This paper proposes a new approach to solving the restriction problem by constructing natural intermediate modules that help factor the computation of the structure constants. We illustrate the technique by solving the problem completely in the case of rainbow supercharacters (and some generalizations). Along the way we introduce a new $q$-analogue of the binomial coefficients that depend on an underlying poset." @default.
• W2199270623 created "2016-06-24" @default.
• W2199270623 creator A5070251753 @default.
• W2199270623 creator A5081253600 @default.
• W2199270623 date "2014-05-09" @default.
• W2199270623 modified "2023-09-27" @default.
• W2199270623 title "Restrictions of rainbow supercharacters" @default.
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• W2199270623 hasPublicationYear "2014" @default.
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