Groups and symmetries. From finite groups to Lie groups. Transl. from the French by Stephanie Frank Singer.

DOI10.1007/978-0-387-78866-1zbMath1201.20001arXiv1511.02491OpenAlexW4231303314WikidataQ115218220 ScholiaQ115218220MaRDI QIDQ998963

Yvette Kosmann-Schwarzbach

Publication date: 30 January 2009

Published in: Universitext, Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02491

zbMATH Keywords

quarkssymmetric groupsfinite groupscharacterstensor productsspherical harmonicssymmetry groupsLie algebroidsPoisson-Lie groupsSchur lemmaLie algebrasrepresentation theorycyclic groupsirreducible representationsfullerenesdihedral groupsLegendre polynomialsSO(3)SU(3)Casimir operatorsmultiplicativitygeneralized geometrycompact Lie groupsSU(2)

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Strong interaction, including quantum chromodynamics (81V05) Applications of Lie groups to the sciences; explicit representations (22E70) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Molecular physics (81V55) Topological groupoids (including differentiable and Lie groupoids) (22A22) Applications of group representations to physics and other areas of science (20C35) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups (22-01)

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