A subalgebra of 0-Hecke algebra

Details A subalgebra of 0-Hecke algebra A subalgebra of 0-Hecke algebra

2009-04-11

arxiv.org/abs/0904.1786v1

Mathematics

Group Theory

12 pages, to appear in J. Algebra

Scientific paper

Let $(W, I)$ be a finite Coxeter group. In the case where $W$ is a Weyl group, Berenstein and Kazhdan in \cite{BK} constructed a monoid structure on the set of all subsets of $I$ using unipotent $\chi$-linear bicrystals. In this paper, we will generalize this result to all types of finite Coxeter groups (including non-crystallographic types). Our approach is more elementary, based on some combinatorics of Coxeter groups. Moreover, we will calculate this monoid structure explicitly for each type.

Affiliated with

Also associated with

No associations

Rating

A subalgebra of 0-Hecke algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A subalgebra of 0-Hecke algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A subalgebra of 0-Hecke algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442189