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- Title
A Tableau Approach to the Representation Theory of 0-Hecke Algebras.
- Authors
Huang, Jia
- Abstract
A 0-Hecke algebra is a deformation of the group algebra of a Coxeter group. Based on work of Norton and Krob-Thibon, we introduce a tableau approach to the representation theory of 0-Hecke algebras of type A, which resembles the classic approach to the representation theory of symmetric groups by Young tableaux and tabloids. We extend this approach to types B and D, and obtain a correspondence between the representation theory of 0-Hecke algebras of types B and D and quasisymmetric functions and noncommutative symmetric functions of types B and D. Other applications are also provided.
- Subjects
YOUNG tableaux; HECKE algebras; COXETER groups; QUASISYMMETRIC groups; NONCOMMUTATIVE function spaces
- Publication
Annals of Combinatorics, 2016, Vol 20, Issue 4, p831
- ISSN
0218-0006
- Publication type
Article
- DOI
10.1007/s00026-016-0338-5