Glossary of representation theory: Difference between revisions
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Template:Short description 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 . Thus, for example, a one-representation (i.e., a character) of a group G is of the form .
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Notes
References
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- Theodor Bröcker and Tammo tom Dieck, Representations of compact Lie groups, Graduate Texts in Mathematics 98, Springer-Verlag, Berlin, 1995.
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- Claudio Procesi (2007) Lie Groups: an approach through invariants and representation, Springer, Template:Isbn.
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- N. Wallach, Real Reductive Groups, 2 vols., Academic Press 1988,
Further reading
- M. Duflo et M. Vergne, La formule de Plancherel des groupes de Lie semi-simples réels, in “Representations of Lie Groups;” Kyoto, Hiroshima (1986), Advanced Studies in Pure Mathematics 14, 1988.
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