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Concept
Semisimple Group
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Summary
A
Semisimple Group
is a type of
Algebraic Group
that has no
Nontrivial connected solvable normal subgroups
, making it a central object of study in the
Theory of Lie groups
and
Algebraic Group
s. It is characterized by its rich structure and the fact that its
Representation Theory
is well-behaved, allowing for a comprehensive classification of its finite-dimensional representations.
Concepts
Lie Group
Algebraic Group
Solvable Group
Normal Subgroup
Representation Theory
Root System
Simple Group
Semisimple Lie Algebra
Cartan Subalgebra
Dynkin Diagram
Reductive Group
Relevant Degrees
Algebra 100%
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