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Discriminants of Brauer algebras

Hebing Rui·Mei Si
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Abstract

In this paper, we compute the discriminant of the Gram matrix associated to each cell module of the Brauer algebra $\cba{n}$. Theoretically, we know when a cell module of $\cba{n}$ is equal to its simple head. This gives a solution of this long standing problem.

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Hebing Rui, Mei Si. 2007-05-03. Discriminants of Brauer algebras. https://arxiv.org/abs/math/0607267

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