On the injectivity of the Braid group in the Hecke algebra

Publisher: Cambridge University Press

E-ISSN: 1755-1633|64|3|487-493

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.64, Iss.3, 2001-12, pp. : 487-493

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Abstract

We show that the well known homomorphism from any Artin braid group to the Hecke algebra of the same type is injective for the universal coxeter system and that the Burau representation is faithful for all finite coxeter systems of rank two.