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Bases of quasi-hereditary covers of diagram algebras

Published online by Cambridge University Press:  11 February 2013

C. BOWMAN
C. BOWMAN*
Affiliation:
Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, 75013, Paris. e-mail: [email protected]
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 3 , May 2013 , pp. 393 - 418
Copyright
Copyright © Cambridge Philosophical Society 2013

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