An extension based determinantal method to compute Casimir operators of Lie algebras

DOI10.1016/S0375-9601(03)00643-1zbMath1051.17005OpenAlexW2044109843WikidataQ58325043 ScholiaQ58325043MaRDI QIDQ1566222

Otto Rutwig Campoamor Stursberg

Publication date: 1 June 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00643-1

zbMATH Keywords

coadjoint representationAbelian radicalcommutator-matrix determinant

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (2)

Contractions of invariants of Lie algebras with applications to classical inhomogeneous Lie algebras ⋮ Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements

Cites Work

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• On the invariants of some solvable rigid Lie algebras
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• Contractions of Lie algebras: Generalized Inönü–Wigner contractions versus graded contractions
• Invariants of solvable Lie algebras of dimension six
• On the number of Casimir operators associated with any lie group
• Simple evaluation of Casimir invariants in finite-dimensional Poisson systems

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