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19932026
most citedQuasifinite highest weight modules over the Lie algebra of differential operators on the circle

262 citations · 3.5k across the 155 of their papers we have counts for

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Showing 2010Show all

6 papers · 1 filter

math.QA2010★ 2 cited

Classification of linearly compact simple N=6 3-algebras

Nicoletta Cantarini, Victor G. Kac

3-algebras have recently appeared in N-supersymmetric 3-dimensional Chern-Simons gauge theories. In our previous paper we classified linearly compact simple N = 8 n-algeb…

math.RA2010★ 8 cited

Calculus structure on the Lie conformal algebra complex and the variational complex

Alberto De Sole, Pedram Hekmati, Victor Kac

We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [DSK]. A…

math-ph2010★ 9 cited

On classification of Poisson vertex algebras

Alberto De Sole, Victor Kac, Minoru Wakimoto

We describe a conjectural classification of Poisson vertex algebras of CFT type and of Poisson vertex algebras in one differential variable (= scalar Hamiltonian operators).

math.QA2010★ 10 cited

Irreducible Modules over Finite Simple Lie Pseudoalgebras II. Primitive Pseudoalgebras of Type K

Bojko Bakalov, Alessandro D'Andrea, Victor 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…

math-ph2010★ 22 cited

Irreducible modules over finite simple Lie conformal superalgebras of type K

Carina Boyallian, Victor G. Kac, Jose I. Liberati

We construct all finite irreducible modules over Lie conformal superalgebras of type K

math-ph2010★ 30 cited

Representations of simple finite Lie conformal superalgebras of type W and S

Carina Boyallian, Victor G. Kac, Jose I. Liberati +1

We construct all finite irreducible modules over Lie conformal superalgebras of type W and S.