On algebras of generic elements of simple Lie algebras

DOI10.1080/00927879808826215zbMath0915.16021OpenAlexW2080774591MaRDI QIDQ4395741

A. V. Il'tyakov

Publication date: 16 May 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826215

zbMATH Keywords

automorphism groupsfields of fractionssimple Lie algebrasrationalityactionsgeneric algebrasgeneric matricesfields of invariants

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Trace rings and invariant theory (associative rings and algebras) (16R30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

Varieties of null-filiform Leibniz algebras under the action of Hopf algebras

Cites Work

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• The center of the ring of \(4\times 4\) generic matrices
• Trace polynomials and invariant theory
• On invariants of \(F_ 4\) and the center of the Albert algebra
• The center of the ring of 3×3 generic matrices
• Introduction to Lie Algebras and Representation Theory

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