Trace forms for structurable algebras

DOI10.1016/0021-8693(89)90085-9zbMath0672.17001OpenAlexW1968814535MaRDI QIDQ1119994

Bruce N. Allison, Schafer, R. D.

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90085-9

zbMATH Keywords

trace formsinvolutionradicalradical algebrasstructurable algebrainvariant formassociated Lie algebraHermitian idempotents

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Related Items

Rigidity and compact real forms of semisimple complex jordan algebras, Invariant forms on central simple structurable algebras, Construction of \(3 \times{} 3\)-matrix Lie algebras and some Lie algebras of type \(D_ 4\), Structurable \(H^*\)-algebras, Fine gradings and gradings by root systems on simple Lie algebras

Cites Work

• On structurable algebras
• Structurable bimodules
• Nilpotence of the radical of a structurable algebra
• A structure theory of Freudenthal-Kantor triple systems
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• A structure theory for Jordan algebras
• Models of isotropic simple lie algebras
• Introduction to Lie Algebras and Representation Theory
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