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.
|Number of pages
|Mathematical Proceedings of the Cambridge Philosophical Society
|Early online date
|11 Feb 2013
|Published - May 2013
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