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Concept
Special Linear Group
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Summary
The
Special Linear Group
, denoted as SL(n, F), is the group of
N x n matrices
with
Determinant equal to 1
over a
Field F
, and it is a fundamental object in the study of
Linear Algebra
and
Group Theory
. It is a
Lie Group
that serves as a central example in the theory of
Algebraic Groups
, with applications in geometry and physics, particularly in the study of symmetries and
Conservation Laws
.
Concepts
Matrix Group
Determinant
Lie Group
Algebraic Group
Linear Algebra
Group Theory
Symmetries
Conservation Laws
Field
Lie Type Group
Classical Groups
PSL(2,R)
Relevant Degrees
Algebra 100%
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