| Title:
|
Nonassociativity in VOA theory and finite group theory (English) |
| Author:
|
Griess, Robert L., Jr. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
51 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
237-244 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
nonassociative algebra |
| Keyword:
|
nonassociative commutative algebra |
| Keyword:
|
groups of Lie type |
| Keyword:
|
sporadic groups |
| Keyword:
|
vertex operator algebras |
| Keyword:
|
lattice type vertex operator algebras |
| Keyword:
|
axioms |
| Keyword:
|
$(B,N)$-pair |
| Keyword:
|
monster |
| Keyword:
|
$2A$-involutions |
| Keyword:
|
Jordan algebra |
| Keyword:
|
pairwise orthogonal idempotents |
| Keyword:
|
$E_8$ |
| Keyword:
|
$E_6$ |
| Keyword:
|
polynomial identity |
| MSC:
|
17A01 |
| MSC:
|
17B69 |
| MSC:
|
20D06 |
| MSC:
|
20D08 |
| idZBL:
|
Zbl 1224.17033 |
| idMR:
|
MR2682476 |
| . |
| Date available:
|
2010-05-21T12:46:28Z |
| Last updated:
|
2014-07-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140102 |
| . |
| Reference:
|
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