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• W2649357948 abstract "We introduce a path-theoretic framework for understanding the representation theory of (quantum) symmetric and general linear groups and their higher level generalisations over fields of arbitrary characteristic. Our first main result is a super-strong linkage principle which provides degree-wise upper bounds for graded decomposition numbers (this is new even in the case of symmetric groups). Next, we generalise the notion of homomorphisms between Weyl/Specht modules which are generically placed (within the associated alcove geometries) to cyclotomic Hecke and diagrammatic Cherednik algebras. Finally, we provide evidence for a higher-level analogue of the classical Lusztig conjecture over fields of sufficiently large characteristic." @default.
• W2649357948 created "2017-06-30" @default.
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• W2649357948 date "2017-06-21" @default.
• W2649357948 modified "2023-10-16" @default.
• W2649357948 title "Modular decomposition numbers of cyclotomic Hecke and diagrammatic Cherednik algebras: A path theoretic approach" @default.
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• W2649357948 doi "https://doi.org/10.48550/arxiv.1706.07128" @default.
• W2649357948 hasPublicationYear "2017" @default.
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