Bernoulli algebras

DOI10.1080/00927879308824745zbMath0789.17015OpenAlexW4230186915MaRDI QIDQ3136851

Sebastian Walcher, Hans Gradl

Publication date: 6 October 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824745

zbMATH Keywords

Bernoulli equationsstructure algebragraded Lie subalgebrasLie algebras of polynomial vector fieldsabelian Bernoulli subalgebraBernoulli algebraextendable Bernoulli algebraKantor-Koecher algebraLie algebras of rational vector fieldsrational straightening function

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Explicit solutions, first integrals of ordinary differential equations (34A05) Jordan structures associated with other structures (17C50)

Cites Work

• Gruppen und Lie-Algebren von rationalen Funktionen
• Jordan Tripelsysteme und die Koecher-Konstruktion von Lie Algebren
• A characterization of regular jordan pairs and its application to riccati differential equations
• On a class of inversions
• Imbedding of Jordan Algebras into Lie Algebras. I
• Über polynomiale, insbesondere Riccatische, Differentialgleichungen mit Fundamentallösungen. (On polynomials, especially Riccati polynomials, differential equations with fundamental solutions)
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