The geometry of compact Lie groups

DOI10.1016/0034-4877(91)90019-JzbMath0771.57015OpenAlexW2087311448WikidataQ115364218 ScholiaQ115364218MaRDI QIDQ1201380

Luis J. Boya

Publication date: 17 January 1993

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(91)90019-j

zbMATH Keywords

representation theoryfibre bundlesimple Lie groupscompact formsinvariant symmetric formsreal cohomology ring

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items

Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics ⋮ Representations of simple Lie groups. II: Addendum et corrigendum ⋮ On regular polytopes ⋮ Matrix regularization of embedded 4-manifolds ⋮ Volumes of compact manifolds ⋮ Supersymmetry and Lie groups ⋮ Geometry of density matrix states ⋮ On characteristic equations, trace identities and Casimir operators of simple Lie algebras ⋮ Holonomy groups coming from F-theory compactification ⋮ Iwasawa nilpotency degree of non compact symmetric cosets in \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} $\end{document}-extended supergravity ⋮ Invariant tensors for simple groups ⋮ Representations of simple Lie groups

Cites Work

• The stable homotopy of the classical groups
• Homologie singulière des espaces fibrés. Applications
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Groupes d'homotopie et classes de groupes abéliens
• Characteristic Classes. (AM-76)
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
• Topology of Lie groups
• Topology of Lie groups and characteristic classes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item