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This is a glossary of representation theory in mathematics.
The term "module" is often used synonymously for a representation; for the module-theoretic terminology, see also glossary of module theory.
See also Glossary of Lie groups and Lie algebras, list of representation theory topics and Category:Representation theory.
Notations: We write G m = G L 1 {\displaystyle \mathbb {G} _{m}=GL_{1}}. Thus, for example, a one-representation of a group G is of the form χ : G → G m {\displaystyle \chi :G\to \mathbb {G} _{m}}.
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