A maximal cubic quotient of the braid algebra
From MaRDI portal
Publication:6309586
DOI10.1016/J.JALGEBRA.2020.09.045arXiv1811.04964MaRDI QIDQ6309586
Publication date: 12 November 2018
Abstract: We study a quotient of the group algebra of the braid group in which the Artin generators satisfy a cubic relation. This quotient is maximal among the ones satisfying such a cubic relation. It is finite-dimensional for at least n at most 5 and we investigate its module structure in this range. We also investigate the proper quotients of it that appear in the realm of quantum groups, and describe another maximal quotient related to the usual Hecke algebras. Finally, we describe the connection between this algebra and a quotient of the algebra of horizontal chord diagrams introduced by Vogel. We prove that these two are isomorphic for n at most 5.
This page was built for publication: A maximal cubic quotient of the braid algebra
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6309586)
