Isomorphism classes of $k$-involutions of algebraic groups of type $E_6$
| Autor: | Hutchens, John |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | Automorphisms of order $2$ are studied in order to understand generalized symmetric spaces. The groups of type $E_6$ we consider here can be realized as both the group of linear maps that leave a certain determinant invariant, and also as the identity component of the automorphism group of a class of structurable algebras known as Brown algebras. We will classify the $k$-involutions of these groups of type $E_6$ using aspects of both descriptions, and give detailed descriptions of representatives over certain fields including algebraically closed fields, $\mathbb{R}$, $\mathbb{F}_p$, and $\mathbb{Q}_p$. Comment: 26 pages |
| Databáze: | arXiv |
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