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Statements

Subject Item
dbr:Whittaker_model
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rdfs:label
Whittaker model
rdfs:comment
In representation theory, a branch of mathematics, the Whittaker model is a realization of a representation of a reductive algebraic group such as GL2 over a finite or local or global field on a space of functions on the group. It is named after E. T. Whittaker even though he never worked in this area, because (Jacquet , ) pointed out that for the group SL2(R) some of the functions involved in the representation are Whittaker functions.
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dbp:b
U
dbp:last
Jacquet
dbp:p
G
dbp:year
1966 1967
dbo:abstract
In representation theory, a branch of mathematics, the Whittaker model is a realization of a representation of a reductive algebraic group such as GL2 over a finite or local or global field on a space of functions on the group. It is named after E. T. Whittaker even though he never worked in this area, because (Jacquet , ) pointed out that for the group SL2(R) some of the functions involved in the representation are Whittaker functions. Irreducible representations without a Whittaker model are sometimes called "degenerate", and those with a Whittaker model are sometimes called "generic". The representation θ10 of the symplectic group Sp4 is the simplest example of a degenerate representation.
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