0-Hecke algebras of finite Coxeter groups

By Matthew Fayers. 2005

49 citations recorded by the source corpus.

Abstract We study the 0-Hecke algebra of an arbitrary finite Coxeter group, building on work of Norton (J. Austral. Math. Soc. Ser. A 27 (1979) 337). We examine the correspondence between injective and projective modules, extensions between simple modules and (in type A) the structure of induced simple modules.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Spectroscopy

View Paper: https://www.semanticscholar.org/paper/5cac33f072e905005a8b384b8e2839e453689b85

How researchers see this paper

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In Discrete Mathematics and Combinatorics

1. Stuart W. Margolis
2. Ben Steinberg

In Geometry and Topology

1. Stuart W. Margolis
2. Ben Steinberg
3. Mark V. Lawson
4. L. O. Clark
5. Aidan Sims
6. R. Exel
7. Enrique Pardo
8. Daniel Lenz

In Spectroscopy

1. Ben Steinberg
2. Stuart W. Margolis

Citations in the corpus

• Quivers of monoids with basic algebras (2011, background): “For example, the 0-Hecke monoid M(W ) is partially ordered by the strong Bruhat order with the identity the smallest element [32, 62].”