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arXiv · 1808.06395

Representations of finite-dimensional quotient algebras of the 3-string braid group

Pavel Pyatov·Anastasia Trofimova
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Abstract

We consider quotients of the group algebra of the $3$-string braid group $B_3$ by $p$-th order generic polynomial relations on the elementary braids. In cases $p=2,3,4,5$ these quotient algebras are finite dimensional. We give semisimplicity criteria for these algebras and present explicit formulas for all their irreducible representations.

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BibTeXRIS

Pavel Pyatov, Anastasia Trofimova. 2018-08-20. Representations of finite-dimensional quotient algebras of the 3-string braid group. https://arxiv.org/abs/1808.06395

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