On the Casimir of the group ISL(n,R) and its algebraic decomposition

DOI10.1063/1.1915291zbMath1110.22011arXivhep-th/9609213OpenAlexW2086752645MaRDI QIDQ3438485

J. N. Pecina-Cruz

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/9609213

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (4)

Contractions of invariants of Lie algebras with applications to classical inhomogeneous Lie algebras ⋮ On computing joint invariants of vector fields ⋮ Invariant operators of five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group \(\mathrm{P}(1,4)\) ⋮ Generalized conformal pseudo-Galilean algebras and their Casimir operators

Cites Work

• Algebra and physics of the unitary multiplicity-free representations of ∼(SL)(4, R)
• A general setting for Casimir invariants
• An algorithm to calculate the invariants of any Lie algebra
• Invariants and Scalars of Compact Inhomogeneous Unitary Algebras

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