262 citations · 3.5k across the 155 of their papers we have counts for
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Good Gradings of Simple Lie Algebras
A. G. Elashvili, V. G. Kac
We study and give a complete classification of good $\ZZ$-gradings of all simple finite-dimensional Lie algebras. This problem arose in the quantum Hamiltonian reduction for affine…
Representations of the exceptional Lie superalgebra E(3,6) III: Classification of singular vectors
Victor G. Kac, Alexei Rudakov
We continue the study of irreducible representations of the exceptional Lie superalgebra E(3,6). This is one of the two simple infinite-dimensional Lie superalgebras of vector fiel…
Quantum Reduction and Representation Theory of Superconformal Algebras
Victor Kac, Minoru Wakimoto
We study the structure and representations of a family of vertex algebras obtained from affine superalgebras by quantum reduction. As an application, we obtain in a unified way fre…
Quantum Reduction for Affine Superalgebras
Victor G. Kac, Shi-shyr Roan, Minoru Wakimoto
We extend the homological method of quantization of generalized Drinfeld--Sokolov reductions to affine superalgebras. This leads, in particular, to a unified representation theory…
Classification of supersymmetries
Victor G. Kac
In the first part of my talk I will explain a solution to the extension of Lie's problem on classification of "local continuous transformation groups of a finite-dimensional manifo…