5 citations · 5 across the 6 of their papers we have counts for
6 papers
On embedding of Lie conformal algebras into associative conformal algebras
Michael Roitman
We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is n…
Invariant bilinear forms on a vertex algebra and the radical
Michael Roitman
In this paper we construct a linear space that parameterizes all invariant bilinear forms on a given vertex algebra with values in a arbitrary vector space. Also we prove that ever…
Combinatorics of free vertex algebras
Michael Roitman
This paper illustrates the combinatorial approach to vertex algebra - study of vertex algebras presented by generators and relations. A necessary ingredient of this method is the n…
On twisted representations of vertex algebras
Michael Roitman
In this paper we develop a formalism for working with twisted realizations of vertex and conformal algebras. As an example, we study realizations of conformal algebras by twisted f…
Conformal subalgebras of lattice vertex algebras
Michael Roitman
In this paper we classify, under certain restrictions, all homogeneous conformal subalgebras $\goth L$ of a lattice vertex superalgebra corresponding to an integer lattice $Λ…
On free conformal and vertex algebras
Michael Roitman
Any variety of classical algebras has a so-called conformal counterpart. For example one can consider Lie conformal or associative conformal algebras. Lie conformal algebras are cl…