In mathematics, Borel–de Siebenthal theory describes the closed connected subgroups of a compact Lie group that have maximal rank, i.e. contain a maximal...
23 KB (3,339 words) - 16:26, 13 April 2025
Borel's theorem Borel–de Siebenthal theory Borel–Moore homology Baily–Borel compactification Linear algebraic group Spin structure Borel, Armand (1960)...
14 KB (1,212 words) - 01:57, 11 May 2025
Hermitian symmetric space (section Borel embedding)
Borel–de Siebenthal theory, which classifies closed connected subgroups containing a maximal torus. Hermitian symmetric spaces appear in the theory of...
52 KB (7,418 words) - 20:57, 10 January 2024
Complexification (Lie group) (category Representation theory)
closed connected subgroups of G containing T are described by Borel–de Siebenthal theory. They are exactly the centralizers of tori S ⊆ T. Since every...
52 KB (7,216 words) - 14:30, 2 December 2022