Bases of quasi-hereditary covers of diagram algebras

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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 languageEnglish
Pages (from-to)393-418
Number of pages26
JournalMathematical Proceedings of the Cambridge Philosophical Society
Issue number3
Early online date11 Feb 2013
Publication statusPublished - May 2013

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