Borel–de Siebenthal theory

id: borel-de-siebenthal-theory-248-6311263
title: Borel–de Siebenthal theory
text: 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 torus. It is named after the Swiss mathematicians Armand Borel and Jean de Siebenthal who developed the theory in 1949. Each such subgroup is the identity component of the centralizer of its center. They can be described recursively in terms of the associated root system of the group. The subgroups for which the corresponding homogeneous space
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original url: https://en.wikipedia.org/wiki/Borel%E2%80%93de_Siebenthal_theory
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date modified: 2024-01-26T18:48:24Z
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image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/14/E8Petrie.svg","width":512,"height":514}
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