Realization of semisimple lie algebras with polynomial and rational vector fields

DOI10.1080/00927879308824784zbMath0817.17025OpenAlexW2066882685MaRDI QIDQ3141940

Hans Gradl

Publication date: 6 December 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824784

zbMATH Keywords

fundamental solutionsdifferential equations5-graded Lie algebrasJordan pairs of second orderLie algebra of rational vector fieldsLie algebras with polynomial vector fields

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Explicit solutions, first integrals of ordinary differential equations (34A05) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

Constructing Lie algebras of first order differential operators.

Cites Work

• Nonlinear equations with superposition principles and the theory of transitive primitive Lie algebras
• Some arithmetical results on semi-simple Lie algebras
• Gruppen und Lie-Algebren von rationalen Funktionen
• Jordan Tripelsysteme und die Koecher-Konstruktion von Lie Algebren
• A Construction of Lie Algebras From J-Ternary Algebras
• Imbedding of Jordan Algebras into Lie Algebras. I
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