Bases of quasi-hereditary covers of diagram algebras

Chris Bowman-Scargill

doi:10.1017/S0305004112000667

Bases of quasi-hereditary covers of diagram algebras

Chris Bowman-Scargill

Mathematics

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

Abstract

We extend the the combinatorics of tableaux to the study of Brauer walled Brauer and partition algebras. In particular, we provide uniform constructions of Murphy bases and 'Specht' filtrations of permutation modules. This allows us to give a uniform construction of semistandard bases of their quasi-hereditary covers.

Original language	English
Pages (from-to)	393-418
Number of pages	26
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	154
Issue number	3
Early online date	11 Feb 2013
DOIs	https://doi.org/10.1017/S0305004112000667
Publication status	Published - May 2013

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Copyright 2013 Elsevier B.V., All rights reserved.

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Bases of quasi-hereditary covers of diagram algebras

Abstract

Bibliographical note

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