Abstract
We prove that the quotient of the group algebra of the braid group introduced by Funar (Commun Math Phys 173:513–558, 1995) collapses in characteristic distinct from 2. In characteristic 2 we define several quotients of it, which are connected to the classical Hecke and Birman-Wenzl-Murakami quotients, but which admit in addition a symmetry of order 3. We also establish conditions on the possible Markov traces factorizing through it.
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Communicated by A. Connes
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Cabanes, M., Marin, I. On Ternary Quotients of Cubic Hecke Algebras. Commun. Math. Phys. 314, 57–92 (2012). https://doi.org/10.1007/s00220-012-1519-7
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DOI: https://doi.org/10.1007/s00220-012-1519-7