The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n)

Details The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n) The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n)

2011-12-14

arxiv.org/abs/1112.3384v1

Mathematics

Representation Theory

13 pages

Scientific paper

Atypicality is a fundamental combinatorial invariant for simple supermodules of a basic Lie superalgebra. Boe, Nakano, and the author gave a conjectural geometric interpretation of atypicality via support varieties. Inspired by low dimensional topology, Geer, Patureau-Mirand, and the author gave a generalization of the Kac-Wakimoto atypicality conjecture. We prove both of these conjectures for the Lie superalgebra osp(m|2n).

Affiliated with

Also associated with

No associations

Rating

The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n) 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 generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-561519