Seminormal representations of Weyl groups and Iwahori-Hecke algebras

Details Seminormal representations of Weyl groups and Iwahori-Hecke algebras Seminormal representations of Weyl groups and Iwahori-Hecke algebras

1995-11-23

arxiv.org/abs/math/9511223v1

Mathematics

Representation Theory

Scientific paper

The purpose of this paper is to describe a general procedure for computing analogues of Young's seminormal representations of the symmetric groups. The method is to generalize the Jucys-Murphy elements in the group algebras of the symmetric groups to arbitrary Weyl groups and Iwahori-Hecke algebras. The combinatorics of these elements allows one to compute irreducible representations explicitly and often very easily. In this paper we do these computations for Weyl groups and Iwahori-Hecke algebras of types $A_n$, $B_n$, $D_n$, $G_2$. Although these computations are in reach for types $F_4$, $E_6$, and $E_7$, we shall, in view of the length of the current paper, postpone this to another work.

Affiliated with

Also associated with

No associations

Rating

Seminormal representations of Weyl groups and Iwahori-Hecke algebras 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 Seminormal representations of Weyl groups and Iwahori-Hecke algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Seminormal representations of Weyl groups and Iwahori-Hecke algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-465247