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arXiv:2211.14756 [math.RT]AbstractReferencesReviewsResources

The Jucys-Murphy basis and semisimplicty criteria for the $q$-Brauer algebra

Hebing Rui, Mei Si, Linliang Song

Published 2022-11-27Version 1

We construct the Jucys-Murphy elements and the Jucys-Murphy basis for the $q$-Brauer algebra in the sense of Mathas[11]. We also give a necessary and sufficient condition for the $q$-Brauer algebra being (split) semisimple over an arbitrary field.

Comments: 21 pages
Categories: math.RT, math.QA
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