An algorithm to calculate the invariants of any Lie algebra

DOI10.1063/1.530458zbMath0824.17009OpenAlexW2103195030WikidataQ115330877 ScholiaQ115330877MaRDI QIDQ4314283

J. N. Pecina-Cruz

Publication date: 15 November 1995

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

Full work available at URL: https://doi.org/10.1063/1.530458

zbMATH Keywords

differential operatorsolvable Lie algebrapolynomial invariantsCasimir operatoradjoint systemcomplete system of linear first order partial differential equations

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Solvable, nilpotent (super)algebras (17B30)

Related Items (7)

Complete labeling of \(G_2\)-representations ⋮ Contractions of invariants of Lie algebras with applications to classical inhomogeneous Lie algebras ⋮ On computing joint invariants of vector fields ⋮ An alternative interpretation of the Beltrametti-Blasi formula by means of differential forms ⋮ Invariants of contact Lie algebras ⋮ An extension based determinantal method to compute Casimir operators of Lie algebras ⋮ On the Casimir of the group ISL(n,R) and its algebraic decomposition

Cites Work

• On the nilpotent Lie algebras of dimension \(\leq 7)\)
• La représentation coadjointe du groupe affine
• The fundamental invariants of inhomogeneous classical groups
• Solvable Lie algebras of dimension six
• Wigner analysis and Casimir operators of SA(4,R)
• A general setting for Casimir invariants
• Invariants of real low dimension Lie algebras
• On the number of Casimir operators associated with any lie group
• Invariants and Scalars of Compact Inhomogeneous Unitary Algebras

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