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Nonassociativity in VOA theory and finite group theory
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 237-244 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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     author = {Griess, Robert L., Jr.},
     title = {Nonassociativity in {VOA} theory and finite group theory},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {237--244},
     year = {2010},
     volume = {51},
     number = {2},
     mrnumber = {2682476},
     zbl = {1224.17033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2010_51_2_a7/}
}
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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/