A class of finite-dimensional Lie algebras, the Casimir operators of which are not of finite type

DOI10.1063/1.525620zbMath0529.17008OpenAlexW2075036772MaRDI QIDQ3310796

F. Berdjis

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525620

zbMATH Keywords

nilpotent Lie algebrascenter of enveloping algebraHilbert 14th problem

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30)

Cites Work

• A criterion for completeness of Casimir operators
• On the number of Casimir operators associated with any lie group
• On the Casimir operators associated with any Lie algebra
• On the 14-th Problem of Hilbert

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