About: Whittaker model

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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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  • 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. (en)
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  • U (en)
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  • Jacquet (en)
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  • G (en)
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  • 1966 (xsd:integer)
  • 1967 (xsd:integer)
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  • 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. (en)
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  • Whittaker model (en)
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