Borel subgroup

id: borel-subgroup-194-1221490
title: Borel subgroup
text: In the theory of algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup. For example, in the general linear group GLn, the subgroup of invertible upper triangular matrices is a Borel subgroup. For groups realized over algebraically closed fields, there is a single conjugacy class of Borel subgroups. Borel subgroups are one of the two key ingredients in understanding the structure of simple algebraic groups, in Jacques Tits
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Borel_subgroup
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date modified: 2024-01-10T19:43:42Z
main entity: {"identifier":"Q4944913","url":"https://www.wikidata.org/entity/Q4944913"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/14/E8Petrie.svg","width":512,"height":514}
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