Elduque, Alberto and Villa, Oliver (2008) The Existence of Superinvolutions. Journal of Algebra, 319 (10). pp. 4338-4359. ISSN 0021-8693
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Abstract
Superinvolutions on graded associative algebras constitute a source of Lie and Jordan superalgebras. Graded versions of the classical Albert and Albert–Riehm Theorems on the existence of superinvolutions are proven. Surprisingly, the existence of superinvolutions of the first kind is a rare phenomenon, as nontrivial central division superalgebras are never endowed with this kind of superinvolutions.
| Item Type: | Scientific journal article, Newspaper article or Magazine article |
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| Uncontrolled Keywords: | Superinvolution; Albert Theorem; Albert–Riehm Theorem; Superalgebra; Simple; Central |
| Subjects: | Mathematical sciences Mathematical sciences > Mathematics Mathematical sciences > Mathematics > Pure mathematics |
| Department/unit: | Dipartimento tecnologie innovative |
| Depositing User: | Oliver Villa |
| Date Deposited: | 25 Feb 2015 07:12 |
| Last Modified: | 10 May 2016 13:03 |
| URI: | http://repository.supsi.ch/id/eprint/1700 |
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