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Kleshchev’s decomposition numbers for diagrammatic Cherednik algebras

Bowman, Christopher, Speyer, L. (2017) Kleshchev’s decomposition numbers for diagrammatic Cherednik algebras. Transactions of the American Mathematical Society, 370 . pp. 3551-2590. ISSN 0002-9947. E-ISSN 1088-6850. (doi:10.1090/tran/7054) (KAR id:64026)

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We construct a family of graded isomorphisms between certain subquotients of diagrammatic Cherednik algebras as the quantum characteristic, multicharge, level, degree, and weighting are allowed to vary; this provides new structural information even in the case of the classical q-Schur algebra. This also allows us to prove some of the first results concerning the (graded) decomposition numbers of these algebras over fields of arbitrary characteristic.

Item Type: Article
DOI/Identification number: 10.1090/tran/7054
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Christopher Bowman
Date Deposited: 16 Oct 2017 09:48 UTC
Last Modified: 08 Dec 2022 21:45 UTC
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