On the Killing form on Lie Algebras

Autor: Vladimir Vitalyevich Gorbatsevich
Rok vydání: 2021
Předmět:
Zdroj: Russian Mathematics. 65:44-60
ISSN: 1934-810X
1066-369X
DOI: 10.3103/s1066369x21040046
Popis: Finite-dimensional Lie algebras with trivial Killing form are studied. The main properties of the Killing form are specified, a series of examples of Lie algebras with trivial or non-trivial Killing form are given. A classification of Lie algebras of dimension $\le 5$ with trivial Killing form is given. Some results are found about the space of all Lie algebras with trivial Killing form.
Databáze: OpenAIRE
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