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Concept
Algebraic Group Action
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Summary
An
Algebraic Group Action
is a formal way in which a group, often a
Group of symmetries
, acts on an
Algebraic Variety
, providing a
Framework to study symmetry
in algebraic geometry. This action allows for the exploration of
Properties like orbits
, stabilizers, and
Invariant Theory
, which are crucial in understanding the
Structure and classification of algebraic varieties
.
Concepts
Algebraic Group
Algebraic Variety
Group Action
Orbits
Stabilizers
Invariant Theory
Symmetry
Homomorphism
Representation Theory
Geometric Invariant Theory
Borel Subgroups
Relevant Degrees
Algebra 100%
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