Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits

Details Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits

2010-09-23

arxiv.org/abs/1009.4724v2

Mathematics

Algebraic Geometry

Some proofs improved

Scientific paper

Let T be a maximal torus in a classical linear group G. In this paper we find all simple rational G-modules V such that for each vector v in V the closure of its T-orbit is a normal affine variety. For every other G-module we present a T-orbit with the non-normal closure. We use a combinatorial criterion of normality formulated in terms of the set of weights of a simple G-module. This work is a continuation of the previous work, where the same problem was solved in the case G=SL(n).

Affiliated with

Also associated with

No associations

Rating

Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits 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 Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273612