On Lie Algebras with Primitive Envelopes, Supplements

DOI10.2307/2041361zbMath0351.17009OpenAlexW4239483172MaRDI QIDQ4120723

Alfons I. Ooms

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2041361

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (16)

On the semi-center of a universal enveloping algebra ⋮ Hopf Galois extensions, triangular structures, and Frobenius Lie algebras in prime characteris\-tic. ⋮ The principal element of a Frobenius Lie algebra ⋮ On Dixmier's fourth problem ⋮ The Gelfand-Kirillov conjecture for semi-direct products of Lie algebras ⋮ The Poisson center and polynomial, maximal Poisson commutative subalgebras, especially for nilpotent Lie algebras of dimension at most seven ⋮ The Frobenius semiradical of a Lie algebra. ⋮ Subprime solutions of the classical Yang-Baxter equation ⋮ The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem ⋮ Solutions of the classical Yang-Baxter equation for simple Lie algebras ⋮ Computing invariants and semi-invariants by means of Frobenius Lie algebras ⋮ On the Jordan kernel of a universal enveloping algebra ⋮ The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight ⋮ On certain maximal subfields in the quotient division ring of an enveloping algebra. ⋮ Solutions of the classical Yang-Baxter equation for simple Lie algebras ⋮ Stratified Lie systems: theory and applications

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