Publication details
Combinatorics of Centers of 0-Hecke Algebras in Type A
- authored by
- Sebastian König
- Abstract
A basis of the center of the 0-Hecke algebra of an arbitrary finite Coxeter group was described by He in 2015. This basis corresponds to certain equivalence classes of the Coxeter group. We consider the case of the symmetric group Sn. Building on work of Geck, Kim and Pfeiffer, we obtain a complete set of representatives of the equivalence classes. This set is naturally parametrized by certain compositions of n called maximal. We develop an explicit combinatorial description for the equivalence classes that are parametrized by the maximal compositions whose odd parts form a hook.
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- Type
- Article
- Journal
- Electronic Journal of Combinatorics
- Volume
- 30
- ISSN
- 1077-8926
- Publication date
- 11.08.2023
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Theoretical Computer Science, Geometry and Topology, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, Applied Mathematics
- Electronic version(s)
-
https://doi.org/10.37236/11126 (Access:
Open)
