TY - JOUR
T1 - A Tableau Approach to the Representation Theory of 0-Hecke Algebras
AU - Huang, Jia
N1 - Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00026-016-0338-5
DO - 10.1007/s00026-016-0338-5
M3 - Article
AN - SCOPUS:84994097032
SN - 0218-0006
VL - 20
SP - 831
EP - 868
JO - Annals of Combinatorics
JF - Annals of Combinatorics
IS - 4
ER -