262 citations · 3.5k across the 155 of their papers we have counts for
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Classification of linearly compact simple Jordan and generalized Poisson superalgebras
Nicoletta Cantarini, Victor G. Kac
We classify all linearly compact simple Jordan superalgebras over an algebraically closed field of characteristic zero. As a corollary, we deduce the classification of all linearly…
On simplicity of vacuum modules
M. Gorelik, V. Kac
We find necessary and sufficient conditions of irreducibility of vacuum modules over affine Lie algebras and superalgebras. From this we derive conditions of simplicity of minimal…
Supersymmetric vertex algebras
Reimundo Heluani, Victor G. Kac
We define and study the structure of SUSY Lie conformal and vertex algebras. This leads to effective rules for computations with superfields.
Generalized Vertex Algebras
Bojko Bakalov, Victor G. Kac
We give a short introduction to generalized vertex algebras, using the notion of polylocal fields. We construct a generalized vertex algebra associated to a vector space h with a s…
Automorphisms and forms of simple infinite-dimensional linearly compact Lie superalgebras
Nicoletta Cantarini, Victor G. Kac
We describe the group of continuous automorphisms of all simple infinite-dimensional linearly compact Lie superalgebras and use it in order to classify F-forms of these superalgebr…