262 citations · 3.5k across the 155 of their papers we have counts for
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Non-Archimedean Vertex Algebras
Victor G. Kac
Foundations of the theory of vertex algebras are extended to the non-Archimedean setting.
Orbifolds of Lattice Vertex Algebras
Bojko Bakalov, Jason Elsinger, Victor G. Kac +1
To a positive-definite even lattice , one can associate the lattice vertex algebra , and any automorphism of lifts to an automorphism of . In this paper, we in…
Irreducible modules over finite simple Lie pseudoalgebras III. Primitive pseudoalgebras of type H
Bojko Bakalov, Alessandro D'Andrea, Victor G. Kac
A Lie conformal algebra is an algebraic structure that encodes the singular part of the operator product expansion of chiral fields in conformal field theory. A Lie pseudoalgebra i…
On the structure of quantum vertex algebras
Alberto De Sole, Matteo Gardini, Victor G. Kac
A definition of a quantum vertex algebra, which is a deformation of a vertex algebra, was proposed by Etingof and Kazhdan in 1998. In a nutshell, a quantum vertex algebra is a brai…
Trace functions of the Parafermion vertex operator algebras
Chongying Dong, Victor G. Kac, Li Ren
The trace functions for the Parafermion vertex operator algebra associated to any finite dimensional simple Lie algebra $\g$ and any positive integer are studied and an explici…
Classification of linearly compact simple Nambu-Poisson algebras
Nicoletta Cantarini, Victor G. Kac
We introduce the notion of universal odd generalized Poisson superalgebra associated to an associative algebra A, by generalizing a construction made in [5]. By making use of this…