2,502 research outputs found
Non-vanishing Gram determinants for cyclotomic Nazarov–Wenzl and Birman–Murakami–Wenzl algebras
AbstractIn this paper, we use the method in Rui and Si (2011) [35] to give a necessary and sufficient condition on non-vanishing Gram determinants for cyclotomic NW and cyclotomic BMW algebras over an arbitrary field. Equivalently, we give a necessary and sufficient condition for each cell module of such algebras being equal to its simple head over an arbitrary field
Singular parameters for the Birman-Murakami-Wenzl algebra
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 algebra being Morita equivalent to the
direct sum of the Hecke algebras associated to certain symmetric groups.Comment: 1
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