Alternating Subalgebras of Hecke Algebras and Alternating Subgroups of Braid Groups

DOI10.1080/00927872.2012.751111zbMath1292.20038arXiv1207.3947OpenAlexW2963206646MaRDI QIDQ5412050

O. V. Ogievetskij, Loïc Poulain d'Andecy

Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3947

zbMATH Keywords

Hecke algebraspresentationsCoxeter groupsbraid groupsCoxeter graphsalternating subgroupsalternating subalgebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36)

Cites Work

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• Alternating subgroups of Coxeter groups and their spinor extensions.
• Alternating subgroups of Coxeter groups.
• \(\mathbb{Z}_2\)-graded Clifford system in the Hecke algebra of type \(B_n\).
• New deformations of group algebras of Coxeter groups. II.
• A Combinatorial Proof of the Existence of the Generic Hecke Algebra and $R$-Polynomials.
• The \(q\)-analogue of the alternating group and its representations.