Sliced Extensions, Irreducible Extensions, and Associated Graphs: An Analysis of Lie Algebra Extensions. I. General Theory

DOI10.1063/1.1666008zbMath0238.17002OpenAlexW2079510721WikidataQ115333896 ScholiaQ115333896MaRDI QIDQ5648513

U. Cattaneo

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1063/1.1666008

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05)

Related Items (3)

Sliced Extensions, Irreducible Extensions, and Associated Graphs: An Analysis of Lie Algebra Extensions. II. Application to Euclidean, Poincaré, and Galilean Algebras ⋮ Lie groups and homogeneous spaces ⋮ On the role of semisimple subalgebras in the deformation theory of Lie algebras and their homomorphisms. General theory and applications

Cites Work

• Irreducible Lie algebra extensions of the Poincaré algebra. I: Extensions with abelian kernels
• Irreducible Lie algebra extension of the Poincaré algebra. II: Extensions with arbitrary kernels
• On the three-dimensional cohomology group of Lie algebras
• Cohomology of Lie algebras
• Sur les extensions des groupes topologiques
• On unitary ray representations of continuous groups
• On the Derivation Algebras of Lie Algebras
• Finite-Dimensional Representations of Some Non-Semisimple Lie Algebras
• Lie Algebra Extensions of the Poincaré Algebra
• Sur les extensions centrales du Groupe de Lorentz inhomogène connexe
• Lie Algebra Kernels and Cohomology

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