We obtain a description of the Cartan subalgebras of Lie algebras arising from associative algebras and highlight their connections with the associative structure of the underlying algebra. In particular, the cases of division algebras, solvable associative algebras and group algebras are examined.
Titolo: | Cartan subalgebras in Lie algebras of associative algebras |
Autori: | |
Data di pubblicazione: | 2006 |
Rivista: | |
Abstract: | We obtain a description of the Cartan subalgebras of Lie algebras arising from associative algebras and highlight their connections with the associative structure of the underlying algebra. In particular, the cases of division algebras, solvable associative algebras and group algebras are examined. |
Handle: | http://hdl.handle.net/11587/107522 |
Appare nelle tipologie: | Articolo pubblicato su Rivista |
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