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Bases of quasi-hereditary covers of diagram algebras
Published online by Cambridge University Press: 11 February 2013
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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