Definition

Complete Reducibility

Lie Groups and Lie Algebras · lie-groups.tex

A representation $V$ (Definition~Group Representation) is completely reducible (semisimple) if it decomposes as a direct sum (Definition~Direct Sum of Representations) of irreducible subrepresentations (Definition~Irreducible Representation, Definition~Subrepresentation).

Depends on

Used in

Maschke's Theorem for Compact Groups

Dependency Graph

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