An algebraic geometric model of an action of the face monoid associated to a Kac-Moody group on its building

Details An algebraic geometric model of an action of the face monoid associated to a Kac-Moody group on its building An algebraic geometric model of an action of the face monoid associated to a Kac-Moody group on its building

2009-06-27

arxiv.org/abs/0906.5059v1

Mathematics

Representation Theory

38 pages

Scientific paper

The face monoid described in [M1] acts on the integrable highest weight modules of a symmetrizable Kac-Moody algebra. It has similar structural properties as a reductive algebraic monoid whose unit group is a Kac-Moody group. We found in [M5] two natural extensions of the action of the Kac-Moody group on its building to actions of the face monoid on the building. Now we give an algebraic geometric model of one of these actions of the face monoid. The building is obtained as a part of the spectrum of homogeneous prime ideals of the Cartan algebra of the Kac-Moody group. We describe the full spectrum of homogeneous prime ideals of the Cartan algebra.

Affiliated with

Also associated with

No associations

Rating

An algebraic geometric model of an action of the face monoid associated to a Kac-Moody group on its building 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 An algebraic geometric model of an action of the face monoid associated to a Kac-Moody group on its building, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An algebraic geometric model of an action of the face monoid associated to a Kac-Moody group on its building will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-306191