Lie triple systems, restricted Lie triple systems, and algebraic groups

DOI10.1006/jabr.2001.8890zbMath0987.17011OpenAlexW2090564876WikidataQ115395702 ScholiaQ115395702MaRDI QIDQ5952410

Terrell L. Hodge

Publication date: 18 February 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8890

zbMATH Keywords

algebraic groupenveloping Lie algebraLie triple systemrestricted Lie triple system

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Ternary compositions (17A40)

Related Items

Restricted and quasi-toral restricted Lie-Rinehart algebras, The Frattini \(p\)-subsystem of a solvable restricted Lie triple system, SOME RESULTS ON LIE COLOR TRIPLE SYSTEMS, Restricted Lie algebras all whose elements are semisimple, Imbedding of Lie triple systems into Lie algebras, Unnamed Item, RESTRICTED AND QUASI-TORAL RESTRICTED LIE TRIPLE SYSTEMS, Weyl's dimension formula for modules of simple inner Lie triple systems, Representations associated to involutions on algebraic groups and modular Harish-Chandra modules., The Steinberg Lie Algebra st₂(S), Modules with Involution for Algebraic Groups, Restricted Comtrans Algebras over Small Odd Primes, On the Representation Theory of Lie Triple Systems

Cites Work

• Support varieties for restricted Lie algebras
• Geometry of p-unipotent Lie algebras
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• Infinitesimally central extensions of Chevalley groups
• Regular elements of semisimple algebraic groups
• On the Representation Theory of Lie Triple Systems
• Cohomology of Lie Triple Systems and Lie Algebras With Involution
• Structurable triples, Lie triples, and symmetric spaces
• General Representation Theory of Jordan Algebras
• A Structure Theory of Lie Triple Systems
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