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arXiv · 1112.3384

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

Jonathan Kujawa
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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).

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Jonathan Kujawa. 2011-12-14. The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n). https://arxiv.org/abs/1112.3384

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