Semi-simplicity is a concept widely used in many branches of mathematics, which include representation theory, linear and abstract algebra, algebraic geometry, and category theory. An object that has semi-simplicity can be deteriorated into a total of simple objects. To know more about semi-simplicity, take this short, intelligent quiz.
Trivial objects
Trivial sub-objects
Non-trivial objects
Non-trivial sub-objects
Trivial objects
Simple objects
Non-simple objects
Non-trivial objects
A semi-simplicity of sets
A rigid representation of planes
An irreducible representation of an algebraic structure
A postulate of representation theory
Representation theorem
Schur's Lemma
Maschke's theorem
Reducibility theorem
Multiplicity
Complete reducibility
Complete rigidity
Triviality
Semi-simple
Simple
Non-simple
Trivial
Absolute
Semisimple
Simple
Rigid
Flexible
Trivial
Monoidal
Non-simple
Category
Aggregate
Set
Concrete
Schur's Lemma
Jordanâ€“HĂ¶lder theorem
Holder's Theory of Multiplicity
Mackshen Theory