262 citations · 3.5k across the 155 of their papers we have counts for
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Chiral vs classical operad
Bojko Bakalov, Alberto De Sole, Reimundo Heluani +1
We establish an explicit isomorphism between the associated graded of the filtered chiral operad and the classical operad, which is useful for computing the cohomology of vertex al…
Polynomial tau-functions of BKP and DKP hierarchies
Victor Kac, Johan van de Leur
We construct all polynomial tau-functions of the BKP, DKP and MDKP hierarches.
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…
Local and non-local multiplicative Poisson vertex algebras and differential-difference equations
Alberto De Sole, Victor G. Kac, Daniele Valeri +1
We develop the notions of multiplicative Lie conformal and Poisson vertex algebras, local and non-local, and their connections to the theory of integrable differential-difference H…
Poisson -brackets for differential-difference equations
Alberto De Sole, Victor G. Kac, Daniele Valeri +1
We introduce the notion of a multiplicative Poisson -bracket, which plays the same role in the theory of Hamiltonian differential-difference equations as the usual Poisson -b…
An operadic approach to vertex algebra and Poisson vertex algebra cohomology
Bojko Bakalov, Alberto De Sole, Reimundo Heluani +1
We translate the construction of the chiral operad by Beilinson and Drinfeld to the purely algebraic language of vertex algebras. Consequently, the general construction of a cohomo…