Geometric interpretation of Murphy bases and an application

Details Geometric interpretation of Murphy bases and an application Geometric interpretation of Murphy bases and an application

2011-01-14

arxiv.org/abs/1101.2738v2

Mathematics

Representation Theory

Final version, to appear in JPAA, 14 pages

Scientific paper

In this article we study the representations of general linear groups which arise from their action on flag spaces. These representations can be decomposed into irreducibles by proving that the associated Hecke algebra is cellular. We give a geometric interpretation of a cellular basis of such Hecke algebras which was introduced by Murphy in the case of finite fields. We apply these results to decompose representations which arise from the space of modules over principal ideal local rings of length two with a finite residue field.

Affiliated with

Also associated with

No associations

Rating

Geometric interpretation of Murphy bases and an application 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 Geometric interpretation of Murphy bases and an application, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric interpretation of Murphy bases and an application will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-78599