An analogue of row removal for diagrammatic Cherednik algebras

TY - JOUR

T1 - An analogue of row removal for diagrammatic Cherednik algebras

AU - Speyer, Liron

AU - Bowman-Scargill, Chris

N1 - Funding Information: The authors would like to thank the Royal Commission for the Exhibition of 1851 and the Japan Society for the Promotion of Science for their financial support. Publisher Copyright: © 2018, Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2018/12/19

Y1 - 2018/12/19

N2 - We prove an analogue of James–Donkin row removal theorems for 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.

AB - We prove an analogue of James–Donkin row removal theorems for 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.

UR - http://www.scopus.com/inward/record.url?scp=85058934054&partnerID=8YFLogxK

U2 - 10.1007/s00209-018-2222-y

DO - 10.1007/s00209-018-2222-y

M3 - Article

AN - SCOPUS:85058934054

SN - 0025-5874

VL - 293

SP - 935

EP - 955

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -