Carter subgroups in the group of units of an associative algebra

Carter subgroups in the group of units of an associative algebra

In this paper we examine some properties of the Carter subgroups in the group of units of certain associative algebras. A description of the Carter subgroups in the case of a solvable associative algebra is obtained. Moreover, given an associative algebra A, we study relationships between the Cartan...

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2005-06, Vol.71 (3), p.471-478
Hauptverfasser: Bauer, Thorsten, Siciliano, Salvatore
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Group theory
Lie groups
Subgroups
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Zusammenfassung:In this paper we examine some properties of the Carter subgroups in the group of units of certain associative algebras. A description of the Carter subgroups in the case of a solvable associative algebra is obtained. Moreover, given an associative algebra A, we study relationships between the Cartan subalgebras of the Lie algebra associated with A and the Carter subgroups of the group of units of A.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700038478