262 citations · 3.5k across the 155 of their papers we have counts for
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On rationality of W-algebras
Victor G. Kac, Minoru Wakimoto
We study the problem of classification of triples (), where is a simple Lie algebra, its nilpotent element and $k \in \CC$, for which the sim…
SUSY Lattice Vertex Algebras
Reimundo Heluani, Victor G. Kac
We construct and study SUSY lattice vertex algebras. As a simple example, we obtain the simple vertex algebra associated to the vertex algebra of central charge ,…
Characters of highest weight modules over affine Lie algebras are meromorphic functions
M. Gorelik, V. Kac
We show that the characters of all highest weight modules over an affine Lie algebra with the highest weight away from the critical hyperplane are meromorphic functions in the posi…
Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting
Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi
We extend classical results of Kostant and al. on multiplets of representations of finite-dimensional Lie algebras and on the cubic Dirac operator to the setting of affine Lie alge…