The combinatorics of category O for symmetrizable Kac-Moody algebras

Details The combinatorics of category O for symmetrizable Kac-Moody algebras The combinatorics of category O for symmetrizable Kac-Moody algebras

2003-05-27

arxiv.org/abs/math/0305378v2

Transform. Groups 11 (2006), No. 1, 29-49

Mathematics

Representation Theory

23 pages, 1 figure. Revised version: Non-regular case corrected

Scientific paper

We show that the structure of blocks outside the critical hyperplanes of category O over any symmetrizable Kac-Moody algebra depends only on the corresponding integral Weyl group and its action on the parameters of the Verma modules by giving a combinatorial description of the projective objects. As an application we derive the Kazhdan-Lusztig conjecture for non-integral blocks from the integral case in finite and affine situations.

Affiliated with

Also associated with

No associations

Rating

The combinatorics of category O for symmetrizable Kac-Moody 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 The combinatorics of category O for symmetrizable Kac-Moody algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The combinatorics of category O for symmetrizable Kac-Moody algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-478776