2019 / June Volume 14 No.2
Transposition Algebras
| Published Date |
2019 / June
|
|---|---|
| Title | Transposition Algebras |
| Author | |
| Keyword | |
| Download | |
| Pagination | 155-187 |
| Abstract | The symbiotic relationship between groups and algebras goes back at least to Sophus Lie, who introduced Lie algebras to support the study of Lie groups. Later the classification of finite dimensional, complex, semisimple Lie algebras was in turn reduced (primarily by Weyl) to the classification of finite groups generated by Euclidean reflections. The topics discussed here had a similar start. Algebras were introduced to aid in the construction of finite simple groups, particularly those that are sporadic. These algebras then found a broader context, and there groups were reintroduced to aid in construction
and classification.
|
| DOI | |
| AMS Subject Classification |
Primary: 20D05. Secondary: 17A99, 17B69
|
| Received |
2018-01-24
|
| Accepted |
2018-04-10
|