alexa On Some Generalizations of Batalin-Vilkovisky Algebras


Journal of Generalized Lie Theory and Applications

Author(s): Fusun Akman

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We define the concept of higher order differential operators on a general noncommutative, nonassociative superalgebra A, and show that a vertex operator superalgebra has plenty of them, namely modes of vertex operators. A linear operator \Delta is a differential operator of order at most r if an inductively defined (r+1)-form \Phi_{\Delta}^{r+1} is identically zero.

This article was published in J Pure Appl Algebra 120: 105-141. and referenced in Journal of Generalized Lie Theory and Applications

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