262 citations · 3.5k across the 155 of their papers we have counts for
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Lie conformal algebra cohomology and the variational complex
Alberto De Sole, Victor Kac
We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads to a better understanding of both theories. In…
On exceptional nilpotents in semisimple Lie algebras
A. G. Elashvili, V. G. Kac, E. B. Vinberg
We classify all pairs (m,e), where m is a positive integer and e is a nilpotent element of a semisimple Lie algebra, which arise in the classification of simple rational W-algebras…
Differential Conformal Superalgebras and their Forms
Victor Kac, Michael Lau, Arturo Pianzola
We introduce the formalism of differential conformal superalgebras, which we show leads to the "correct" automorphism group functor and accompanying descent theory in the conformal…
On the Kernel of the affine Dirac operator
Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi
Let L be a finite-dimensional semisimple Lie algebra with a non-degenerate invariant bilinear form, σan elliptic automorphism of L leaving the form invariant, and A a σ-invariant r…
Simple Jordan conformal superalgebras
Victor G. Kac, Alexander Retakh
We classify simple finite Jordan conformal superalgebras and establish preliminary results for the classification of simple finite Jordan pseudoalgebras.