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arXiv · 1601.05543

An analogue of row removal for diagrammatic Cherednik algebras

Chris Bowman·Liron Speyer
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Abstract

We prove an analogue of James-Donkin row removal theorems for arbitrary diagrammatic Cherednik algebras. This is one of the first results concerning the (graded) decomposition numbers of these algebras over fields of arbitrary characteristic. As a special case, our results yield a new reduction theorem for graded decomposition numbers and extension groups for cyclotomic q-Schur algebras.

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BibTeXRIS

Chris Bowman, Liron Speyer. 2018-11-28. An analogue of row removal for diagrammatic Cherednik algebras. https://doi.org/10.1007/s00209-018-2222-y

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