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arXiv · 2211.14756

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

Hebing Rui·Mei Si·Linliang Song
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Abstract

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.

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BibTeXRIS

Hebing Rui, Mei Si, Linliang Song. 2022-11-27. The Jucys-Murphy basis and semisimplicty criteria for the $q$-Brauer algebra. https://arxiv.org/abs/2211.14756

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