Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

Anton Cox; M. De Visscher; Chris Bowman-Scargill

doi:10.1016/j.jalgebra.2012.12.020

Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

Anton Cox^*, M. De Visscher, Chris Bowman-Scargill

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebras. In particular, we determine the block structure and decomposition numbers in characteristic zero.

Original language	English
Pages (from-to)	80-102
Number of pages	23
Journal	Journal of Algebra
Volume	378
Early online date	14 Jan 2013
DOIs	https://doi.org/10.1016/j.jalgebra.2012.12.020
Publication status	Published - 1 Mar 2013

Bibliographical note

Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

Keywords

Brauer algebra
Cyclotomic Brauer algebra
Decomposition numbers

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10.1016/j.jalgebra.2012.12.020

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title = "Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero",

abstract = "We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebras. In particular, we determine the block structure and decomposition numbers in characteristic zero.",

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author = "Anton Cox and {De Visscher}, M. and Chris Bowman-Scargill",

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doi = "10.1016/j.jalgebra.2012.12.020",

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AU - De Visscher, M.

AU - Bowman-Scargill, Chris

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AB - We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebras. In particular, we determine the block structure and decomposition numbers in characteristic zero.

KW - Brauer algebra

KW - Cyclotomic Brauer algebra

KW - Decomposition numbers

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U2 - 10.1016/j.jalgebra.2012.12.020

DO - 10.1016/j.jalgebra.2012.12.020

M3 - Article

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SN - 0021-8693

VL - 378

SP - 80

EP - 102

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

Abstract

Bibliographical note

Keywords

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