Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493465 | Journal of Algebra | 2005 | 32 Pages |
Abstract
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 modules for such vertex algebras and we show that the equivalence classes of graded simple modules one-to-one correspond to the equivalence classes of simple modules for the Lie algebroids associated with the vertex algebroids. To achieve our goal, we construct and exploit a Lie algebra from a given vertex algebroid.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Haisheng Li, Gaywalee Yamskulna,