Nonassociativity in VOA theory and finite group theory

Commentationes mathematicae Universitatis Carolinae

Robert L. Griess¹ 

关键词: nonassociative algebra;    nonassociative commutative algebra;    groups of Lie type;    sporadic groups;    vertex operator algebras;    lattice type vertex operator algebras;    axioms;    monster;    Jordan algebra;    pairwise orthogonal idempotents;    polynomial identity;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

We discuss some examples of nonassociative algebras which occur in VOA (vertex operator algebra) theory and finite group theory. Methods of VOA theory and finite group theory provide a lot of nonassociative algebras to study. Ideas from nonassociative algebra theory could be useful to group theorists and VOA theorists.

【 授权许可】

CC BY