O. V. Ogievetsky, L. Poulain d`Andecy. Alternating subalgebras of Hecke algebras and alternating subgroups of braid groups


Natural Sciences / Mathematics / Algebra

Submitted on: Sep 12, 2012, 17:30:30

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 Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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O_Ogievetsky__Alternating_subalgebras.pdf



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