Kleshchev’s decomposition numbers for diagrammatic Cherednik algebras

Bowman, C.; Speyer, L.

doi:10.1090/tran/7054

Kleshchev’s decomposition numbers for diagrammatic Cherednik algebras
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by C. Bowman and L. Speyer PDF

Trans. Amer. Math. Soc. 370 (2018), 3551-3590 Request permission

Abstract:

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.

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