An analogue of row removal for diagrammatic Cherednik algebras

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.

v4: Final version, to appear in Math. Z

References in corpus (4)

• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Graded decomposition numbers for cyclotomic Hecke algebras
• Generalised column removal for graded homomorphisms between Specht modules
• Kleshchev's decomposition numbers for diagrammatic Cherednik algebras