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arXiv · 1408.6720

A cell filtration of mixed tensor space

Friederike Stoll·Mathias Werth
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Abstract

We construct a cellular basis of the walled Brauer algebra which has similar properties as the Murphy basis of the group algebra of the symmetric group. In particular, the restriction of a cell module to a certain subalgebra can be easily described via this basis. Furthermore, the mixed tensor space possesses a filtration by cell modules -- although not by cell modules of the walled Brauer algebra itself, but by cell modules of its image in the algebra of endomorphisms of mixed tensor space.

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Friederike Stoll, Mathias Werth. 2014-08-28. A cell filtration of mixed tensor space. https://arxiv.org/abs/1408.6720

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