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Bruhat Decomposition
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Summary
Bruhat Decomposition
is a
Structural theorem
in the
Theory of algebraic groups
that describes the
Decomposition of a group
into
Double cosets
with respect to a
Borel Subgroup
. It provides a
Powerful Tool
for
Understanding the geometry
and representation
Theory of algebraic groups
by
Breaking them down
into simpler, more
Manageable Pieces
.
Concepts
Algebraic Groups
Borel Subgroup
Double Coset
Weyl Group
Tits System
Chevalley Group
Flag Variety
Root System
Parabolic Subgroup
Borel Subgroups
Relevant Degrees
Algebra 100%
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