When L is a Nondegenerate Even Lattice![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
In [Citation3], Abe, Buhl, and Dong showed that, when L is a positive definite even lattice, the vertex algebra and its irreducible weak modules satisfy the C
2-cofiniteness condition. In this article, we extend their results by showing that the vertex algebra
and its irreducible weak modules are C
2-cofinite when L is a negative definite even lattice and when L is a nondegenerate even lattice that is neither negative definite nor positive definite.
Key Words:
ACKNOWLEDGMENT
This work was done while the first author was visiting Illinois State University (ISU) from April 2008 to March 2009. P. J. thanks ISU Mathematics Department for their hospitality.
Notes
Communicated by K. Misra.