Invariants of semisimple Lie algebras acting on associative algebras

DOI10.1090/S0002-9939-02-06854-5zbMath1013.16022MaRDI QIDQ4780407

Piotr Grzeszczuk

Publication date: 19 November 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

semisimple Lie algebrasArtinian ringsGoldie ringsalgebras of invariantssemiprime algebrasrings of quotientsPI ringsLie algebra actions

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Trace rings and invariant theory (associative rings and algebras) (16R30) Simple, semisimple, reductive (super)algebras (17B20) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items

Invariants of algebraic derivations and automorphisms in Banach algebras

Cites Work

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• Prime rings with PI rings of constants
• Derivations of prime rings
• Smash products and outer derivations
• Constants of Lie algebra actions
• On nilpotent derivations of semiprime rings
• Centralizers of separable subalgebras
• Goldie centralizers of separable subalgebras
• Invariants of domains under the actions of restricted Lie algebras
• Prime rings satisfying a generalized polynomial identity
• Algebras with a separable subalgebra whose centralizer satisfies a polynomial identity
• Constants of algebric derivations