C2-Cofiniteness of the Vertex Algebra WhenLis a Nondegenerate Even Lattice

Autor: Phichet Jitjankarn, Gaywalee Yamskulna
Rok vydání: 2010
Předmět:
Zdroj: Communications in Algebra. 38:4404-4415
ISSN: 1532-4125
0092-7872
Popis: In [3], 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.
Databáze: OpenAIRE