QUADRATIC LIE ALGEBRAS AND COMMUTATIVE ASSOCIATIVE ALGEBRAS

DOI10.1081/AGB-100002182zbMath1010.17012OpenAlexW2027014853MaRDI QIDQ2755383

Lin Sheng Zhu, Dao Ji Meng

Publication date: 21 May 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-100002182

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (8)

Isometric splitting for actions of simple Lie groups on pseudo-Riemannian manifolds ⋮ Solvable quadratic Lie algebras ⋮ Invariant metrics on current Lie algebras ⋮ Invariant metrics on central extensions of quadratic Lie algebras ⋮ The Frobenius semiradical of a Lie algebra. ⋮ A cohomological characterization of Leibniz central extensions of Lie algebras ⋮ Metricn-Lie Algebras ⋮ Socle and some invariants of quadratic Lie superalgebras

Cites Work

• Unnamed Item
• Symmetric, invariant, non-degenerate bilinear form on a Lie algebra
• Centroids of nilpotent lie algabras
• Some results on complete lie algebras^*
• A new characterization of semisimple Lie algebras
• Lie algebras admitting a unique quadratic structure
• Wess-Zumino-Witten model based on a nonsemisimple group

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