O. V. Ogievetsky, L. Poulain d`Andecy. Alternating subalgebras of Hecke algebras and alternating subgroups of braid groups
Submitted on: Sep 12, 2012, 17:30:30
Natural Sciences / Mathematics / Algebra
Description: For a Coxeter system (G,S) the multi-parametric alternating subalgebra H^+(G) of the Hecke algebra and the alternating subgroup B^+(G) of the braid group are defined. Two presentations for H^+(G) and B^+(G) are given; one generalizes the Bourbaki presentation for the alternating subgroups of Coxeter groups, another one uses generators related to edges of the Coxeter graph.
The abstract of this article will be published in the September 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.
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