Tori and idempotents in reduced enveloping algebras of a solvable Lie \(p\)-algebra

DOI10.1006/jabr.1997.7181zbMath0897.17010OpenAlexW2017746409MaRDI QIDQ1375970

John R. Schue

Publication date: 11 October 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7181

zbMATH Keywords

idempotentscentral idempotentsirreducible representationsmaximal torusstrongly solvablereduced enveloping algebrasWedderburn-Malcev decompositionsolvable Lie \(p\)-algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Cites Work

• Representations of solvable Lie p-algebras
• Darstellungen auflösbarer Lie-p-Algebren
• On the block structure of supersolvable restricted Lie algebras
• Cartan decompositions for Lie algebras of prime characteristic
• Representations of Blocks Associated to Induced Modules of Restricted Lie Algebras
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