Universal enveloping Poisson conformal algebras

Abstract

Lie conformal algebras are useful tools for studying vertex operator algebras and their representations. In this paper, we establish close relations between Poisson conformal algebras and representations of Lie conformal algebras. We also calculate explicitly Poisson conformal brackets on the associated graded conformal algebras of universal associative conformal envelopes of Virasoro conformal algebra and Neveu--Schwartz conformal superalgebra.

References in corpus (2)

• On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation
• A new Composition-Diamond lemma for dialgebras

Cited by in corpus (3)

• Standard bases for the universal associative conformal envelopes of Kac--Moody conformal algebras
• Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
• Defining relations and Gröbner--Shirshov bases of Poisson algebras as of conformal modules