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math.RT2013
A cellular basis of the -Brauer algebra related with Murphy bases of the Hecke algebras
Dung Tien Nguyen
A new basis of the -Brauer algebra is introduced, which is a lift of Murphy bases of Hecke algebras of symmetric groups. This basis is a cellular basis in the sense of Graham an…
math.RT2012★ 1 cited
Cellular structure of -Brauer algebras
Dung Tien Nguyen
In this paper we consider the -Brauer algebra over a commutative noetherian domain. We first construct a new basis for -Brauer algebras, and we then prove that it is a ce…