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arXiv · 2510.09928

Simple $B_4$ representations associated to cyclotomic Hecke algebras

Lilit Martirosyan·Hans Wenzl
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Abstract

We determine the structure of the cyclotomic Hecke algebra corresponding to the complex reflection group $G_{25}$ also when it is not semisimple, as long as the generators are diagonalizable. In particular, we classify all simple representations of the braid group $B_4$ for which the generators are diagonalizable and satisfy a cubic polynomial. This will be used in the classification of braided tensor categories of type $G_2$.

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BibTeXRIS

Lilit Martirosyan, Hans Wenzl. 2025-10-10. Simple $B_4$ representations associated to cyclotomic Hecke algebras. https://arxiv.org/abs/2510.09928

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