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BRANCH OVERVIEW
Representation theory
Understand symmetry through linear transformations.
← All branches · Each sheet includes definitions, theorems, applications, and exercises with hints and worked solutions.
Representation theory
Understand symmetry through linear transformations.
- Representations & invariant subspacesReplace abstract symmetries by matrices that preserve composition.
- Characters & decompositionTraces summarize finite-group representations without fixing a basis.
- Direct sums, tensor products & dualsBuild new representations and track how their dimensions and characters change.