A maximal cubic quotient of the braid algebra, I

Autor:	Ivan Marin
Rok vydání:	2022
Předmět:	Pure mathematics Algebra and Number Theory 010102 general mathematics Braid group Group algebra Chord diagram 01 natural sciences Algebra I 0103 physical sciences Braid 010307 mathematical physics 0101 mathematics Algebra over a field Connection (algebraic framework) Quotient Mathematics
Zdroj:	Journal of Algebra. 607:381-410
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2020.09.045
Popis:	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. 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 ≤ 5 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a5e4bd5733e1835db399384b552bc072 https://doi.org/10.1016/j.jalgebra.2020.09.045 Zobrazit plný text záznamu Full Text from ScienceDirect