2 citations · 4 across the 5 of their papers we have counts for
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-cofiniteness of the vertex algebra when is a non-degenerate even lattice
Phichet Jitjankarn, Gaywalee Yamskulna
It was shown by Abe, Buhl and Dong that the vertex algebra and its irreducible weak modules satisfy the -cofiniteness condition when is a positive definite even la…
Rationality of the vertex algebra when is a nondegenerate even lattice of arbitrary rank
Gaywalee Yamskulna
In this paper we prove that the vertex algebra is rational if is a negative definite even lattice of finite rank, or if is a non-degenerate even lattice of a finite…
Classification of irreducible modules of the vertex algebra when is a nondegenerate even lattice of an arbitrary rank
Gaywalee Yamskulna
In this paper, we first classify all irreducible modules of the vertex algebra when is a negative definite even lattice of arbitrary rank. In particular, we show that a…
Vertex Poisson algebras associated with Courant algebroids and their deformations; I
Gaywalee Yamskulna
This is the first of two papers on vertex Poisson algebras associated with Courant algebroids, and their deformations. In this work, we study relationships between vertex Poisson a…
Twisted modules for vertex algebras associated with vertex algebroids
Haisheng Li, Gaywalee Yamskulna
We continue with [LY] to construct and classify graded simple twisted modules for the -graded vertex algebras constructed by Gorbounov, Malikov and Schechtman from vertex algeb…
On certain vertex algebras and their modules associated with vertex algebroids
Haisheng Li, Gaywalee Yamskulna
We study the family of vertex algebras associated with vertex algebroids, constructed by Gorbounov, Malikov, and Schechtman. As the main result, we classify all the (graded) simple…