The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n)
Representation Theory
2011-12-16 v1
Abstract
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).
Keywords
Cite
@article{arxiv.1112.3384,
title = {The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n)},
author = {Jonathan Kujawa},
journal= {arXiv preprint arXiv:1112.3384},
year = {2011}
}
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13 pages