About Cartan-Subalgebras in Lie-Algebras associated to Associative Algebras
Sven Wirsing
TL;DR
This paper investigates the structure of Cartan-Subalgebras within Lie-Algebras that are derived from associative algebras, aiming to deepen understanding of their properties and classifications.
Contribution
It provides new insights into the characterization and properties of Cartan-Subalgebras in Lie-Algebras associated with associative algebras.
Findings
Identification of conditions for Cartan-Subalgebras existence
Classification results for specific associative algebra types
Connections between associative algebra structures and Lie-Algebra subalgebras
Abstract
We study Cartan-Subalgebras of Lie-Algebras associated to associative algebras.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology