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On the injectivity of the Braid group in the Hecke algebra

Published online by Cambridge University Press:  17 April 2009

Gus I. Lehrer  and
Nanhua Xi
Gus I. Lehrer
Affiliation:
School of Mathematics and Statistics, University of Sydney, New South Wales 2006, Australia e-mail: gusl@maths.usyd.edu.au
Nanhua Xi
Affiliation:
Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China e-mail: nanhua@math08.math.ac.cn
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 487 - 493
Copyright
Copyright © Australian Mathematical Society 2001

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