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Concept
Artin Representation
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Summary
An
Artin Representation
is a homomorphism from the
Absolute Galois Group
of a
Number Field
to the
General Linear Group
over the
Complex Numbers
, often used to study the relationship between
Field Extensions
and
Linear Algebra
. Named after
Emil Artin
, these representations play a crucial role in
Modern number theory
, particularly in the
Langlands Program
and the study of L-functions.
Concepts
Galois Representations
General Linear Group
Number Fields
Langlands Program
L-functions
Complex Representation
Field Extensions
Algebraic Number Theory
Homomorphism
Representations Of Braid Groups
Relevant Degrees
Algebra 44%
Geometry 33%
Fundamentals of Mathematics 22%
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