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Concept
Borel Subgroup
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Summary
A
Borel Subgroup
is a
Maximal connected solvable subgroup
of a
Linear Algebraic Group
, often used in the study of the
Group's structure
and
Representation Theory
. They play a crucial role in the
Classification of algebraic groups
and the
Understanding of flag varieties
, as they are closely related to
Parabolic subgroups
.
Concepts
Linear Algebraic Group
Solvable Group
Maximal Subgroup
Connected Component
Parabolic Subgroup
Flag Variety
Representation Theory
Algebraic Group Classification
Root System
Bruhat Decomposition
Linear Algebraic Groups
Unipotent Group
Reductive Group
Tits System
Semisimple Algebraic Group
Algebraic Groups
Relevant Degrees
Algebra 70%
Geometry 30%
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