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Affine Algebraic Group
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Summary
An
Affine Algebraic Group
is a group that is also an
Affine algebraic variety
, meaning it can be described by
Polynomial Equations
and its
Group Operations
(multiplication and inversion) are compatible with its
Algebraic Structure
. These groups play a significant role in
Algebraic Geometry
and
Representation Theory
, serving as a bridge between
Algebraic Structure
s and
Geometric Objects
.
Concepts
Algebraic Variety
Polynomial Equations
Group Theory
Algebraic Geometry
Representation Theory
Group Homomorphism
Lie Groups
Group Actions
Zariski Topology
Chevalley's Structure Theorem
Linear Algebraic Groups
Linear Algebraic Group
Algebraic Groups
Relevant Degrees
Algebra 100%
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