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0-Hecke algebras

Published online by Cambridge University Press:  09 April 2009

P. N. Norton
P. N. Norton
Affiliation:
Technical Education Division Education Department of W.A. 36 Parliament Place West Perth, Western Australia, 6005, Australia
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Abstract

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The structure of a 0-Hecke algebra H of type (W, R) over a field is examined. H has 2n distinct irreducible representations, where n = ∣R∣, all of which are one-dimensional, and correspond in a natural way with subsets of R. H can be written as a direct sum of 2n indecomposable left ideals, in a similar way to Solomon's (1968) decomposition of the underlying Coxeter group W.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 3 , May 1979 , pp. 337 - 357
Copyright
Copyright © Australian Mathematical Society 1979

References

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