Geodesic
Nonassociativity in VOA theory and finite group theory
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 237-244.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 17A01, 17B69, 20D06, 20D08
Keywords: nonassociative algebra; nonassociative commutative algebra; groups of Lie type; sporadic groups; vertex operator algebras; lattice type vertex operator algebras; axioms; $(B, N)$-pair; monster; $2A$-involutions; Jordan algebra; pairwise orthogonal idempotents; $E_8$; $E_6$; polynomial identity 
@article{CMUC_2010__51_2_a7,
     author = {Griess, Robert L., Jr.},
     title = {Nonassociativity in {VOA} theory and finite group theory},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {237--244},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2010},
     mrnumber = {2682476},
     zbl = {1224.17033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a7/}
}
TY  - JOUR
AU  - Griess, Robert L., Jr.
TI  - Nonassociativity in VOA theory and finite group theory
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2010
SP  - 237
EP  - 244
VL  - 51
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a7/
LA  - en
ID  - CMUC_2010__51_2_a7
ER  - 
%0 Journal Article
%A Griess, Robert L., Jr.
%T Nonassociativity in VOA theory and finite group theory
%J Commentationes Mathematicae Universitatis Carolinae
%D 2010
%P 237-244
%V 51
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a7/
%G en
%F CMUC_2010__51_2_a7
Griess, Robert L., Jr. Nonassociativity in VOA theory and finite group theory. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 237-244. http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a7/