Spanning Sets for Möbius Vertex Algebras Satisfying Arbitrary Difference Conditions

Authors

Geoffrey Buhl, California State University - Channel Islands
Gizem Karaali, Pomona CollegeFollow

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2008

Keywords

Vertex operator algebra, Möbius vertex algebras, Vertex algebras, Spanning set

Abstract

Spanning sets for vertex operator algebras satisfying difference-zero and difference-one conditions have been extensively studied in the recent years. In this paper, we extend these results. More specifically, we show that for a suitably chosen generating set, any N-graded Möbius vertex algebra is spanned by monomials satisfying a difference-N ordering condition.

Rights Information

Copyright © 2008 Elsevier Inc. All rights reserved.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1016/j.jalgebra.2008.06.038

Recommended Citation

Geoffrey Buhl, Gizem Karaali, Spanning sets for Möbius vertex algebras satisfying arbitrary difference conditions, Journal of Algebra, Volume 320, Issue 8, 15 October 2008, Pages 3345-3364, ISSN 0021-8693, 10.1016/j.jalgebra.2008.06.038. (http://www.sciencedirect.com/science/article/pii/S0021869308003761)