Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras

Abstract

In this paper, we use geometrical methods adapted from the Borel-Weil-Bott theory to compute the character of every finite dimensional simple module over a basic classical Lie superalgebra.

40 pages

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• Grothendieck rings for Lie superalgebras and the Duflo-Serganova functor
• Kac-Wakimoto character formula for the general linear Lie superalgebra
• Mock Modular Index of M2-M5 Brane System
• Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras
• Resolution of singularities of the odd nilpotent cone of orthosymplectic Lie superalgebras