Theorems in representation theory | Automorphic forms | Representation theory of groups | Theorems in number theory

Multiplicity-one theorem

In the mathematical theory of automorphic representations, a multiplicity-one theorem is a result about the representation theory of an adelic reductive algebraic group. The multiplicity in question is the number of times a given abstract group representation is realised in a certain space, of square-integrable functions, given in a concrete way. A multiplicity one theorem may also refer to a result about the restriction of a representation of a group G to a subgroup H. In that context, the pair (G, H) is called a strong Gelfand pair. (Wikipedia).

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Related pages

Subrepresentation | Admissible representation | Group representation | Group (mathematics) | Whittaker model | General linear group | Cuspidal representation | Adelic algebraic group | Representation theory | Square-integrable function | Gelfand pair | Cusp form | Integer | Ganโ€“Grossโ€“Prasad conjecture | Special linear group | Subgroup | Character (mathematics) | Restricted representation | Adele ring | Irreducible representation