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Irreducible Modules over Finite Simple Lie Pseudoalgebras I. Primitive Pseudoalgebras of Type W and S
B. Bakalov, A. D'Andrea, V. G. Kac
One of the algebraic structures that has emerged recently in the study of the operator product expansions of chiral fields in conformal field theory is that of a Lie conformal alge…
Twisted Modules over Lattice Vertex Algebras
Bojko Bakalov, Victor G. Kac
For any integral lattice , one can construct a vertex algebra called a lattice vertex algebra. If is an automorphism of of finite order, it can be lifted to an aut…
Field Algebras
Bojko Bakalov, Victor G. Kac
A field algebra is a ``non-commutative'' generalization of a vertex algebra. In this paper we develop foundations of the theory of field algebras.
Theory of Finite Pseudoalgebras
Bojko Bakalov, Alessandro D'Andrea, Victor G. Kac
Conformal algebras, recently introduced by Kac, encode an axiomatic description of the singular part of the operator product expansion in conformal field theory. The objective of t…