Discriminants of Brauer algebras
classification
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brauercellmodulealgebraalgebrasassociatedcomputediscriminant
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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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