15 citations · 32 across the 12 of their papers we have counts for
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Discriminants of quantized walled Brauer algebras
Mei Si, Linliang Song
In this paper, we compute Gram determinants associated to all cell modules of quantized walled Brauer algebras over an arbitrary field . Suppose is…
Singular parameters for the Birman-Murakami-Wenzl algebra
Hebing Rui, Mei Si
In this paper, we classify the singular parameters for the Birman-Murakami-Wenzl algebra over an arbitrary field. Equivalently, we give a criterion for the Birman-Murakami-Wenzl al…
Discriminants of Brauer algebras
Hebing Rui, Mei Si
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 $\cba{n}$…
Gram determinants and semisimplity criteria for Birman-Wenzl algebras
Hebing Rui, Mei Si
In this paper, we compute the Gram determinants associated to each cell module of the Birman-Wenzl algebras. As a by-product, we give the necessary and sufficient condition for sem…