Title: On a VOA Associated with the Simple Jordan Algebra of Type D
Abstract:If a vertex operator algebra satisfies dim V 0 = 1 and V 1 = {0}, then V 2 has a commutative (not necessarily associative) algebra structure, called the Griess algebra. By using a vertex operator alge...If a vertex operator algebra satisfies dim V 0 = 1 and V 1 = {0}, then V 2 has a commutative (not necessarily associative) algebra structure, called the Griess algebra. By using a vertex operator algebra associated with the simple Jordan algebra of type D, this article gives a counterexample to the following assertion: If R is a subalgebra of the Griess algebra, then the weight two space of the vertex operator subalgebra VOA(R) generated by R coincides with R.Read More
Publication Year: 2011
Publication Date: 2011-06-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 5
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot