Contractions of invariants of Lie algebras with applications to classical inhomogeneous Lie algebras

DOI10.1063/1.2839911zbMath1153.81448OpenAlexW1999726375MaRDI QIDQ3544677

Evelyn Weimar-Woods

Publication date: 8 December 2008

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

Full work available at URL: https://doi.org/10.1063/1.2839911

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (4)

A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras ⋮ Trace formulas for the Casimir operators of the unextended Schrödinger algebra S(N) ⋮ On some structural properties of semidirect sums of \(\mathfrak{so}(3)\) and abelian Lie algebras ⋮ Generalized conformal pseudo-Galilean algebras and their Casimir operators

Cites Work

• The Casimir operators of inhomogeneous groups
• An extension based determinantal method to compute Casimir operators of Lie algebras
• An alternative interpretation of the Beltrametti-Blasi formula by means of differential forms
• A new matrix method for the Casimir operators of the Lie algebras and
• THE GENERAL STRUCTURE OF G-GRADED CONTRACTIONS OF LIE ALGEBRAS, II: THE CONTRACTED LIE ALGEBRA
• On the Casimir of the group ISL(n,R) and its algebraic decomposition
• A general setting for Casimir invariants
• Invariants of real low dimension Lie algebras
• An algorithm to calculate the invariants of any Lie algebra
• Graded contractions of Casimir operators
• Construction of Invariants for Lie Algebras of Inhomogeneous Pseudo-Orthogonal and Pseudo-Unitary Groups
• Expansion of the Inhomogeneous Symplectic Lie Algebras T(2n)+ lim ←Sp(n) to Sp(n+2)
• Determinantal formulae for the Casimir operators of inhomogeneous Lie algebras

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