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- W2963291266 abstract "A new basis of the [Formula: see text]-Brauer algebra is introduced, which is a lift of Murphy bases of Hecke algebras of symmetric groups. This basis is shown to be a cellular basis in the sense of Graham and Lehrer. Using combinatorial tools we prove that the non-isomorphic simple [Formula: see text]-Brauer modules are indexed by the [Formula: see text]-restricted partitions of [Formula: see text] where [Formula: see text] is an integer, [Formula: see text]. When the [Formula: see text]-Brauer algebra has low dimension a criterion of semisimplicity is given, which is used to show that the [Formula: see text]-Brauer algebra is in general not isomorphic to the BMW-algebra." @default.
- W2963291266 created "2019-07-30" @default.
- W2963291266 creator A5044615644 @default.
- W2963291266 date "2018-04-26" @default.
- W2963291266 modified "2023-09-24" @default.
- W2963291266 title "A cellular basis of the q-Brauer algebra related with Murphy bases of Hecke algebras" @default.
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- W2963291266 doi "https://doi.org/10.1142/s021949881850086x" @default.
- W2963291266 hasPublicationYear "2018" @default.
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