Langlands Decomposition - Applications

Applications

See also: Parabolic induction

A key application is in parabolic induction, which leads to the Langlands program: if is a reductive algebraic group and is the Langlands decomposition of a parabolic subgroup P, then parabolic induction consists of taking a representation of, extending it to by letting act trivially, and inducing the result from to .

Read more about this topic:  Langlands Decomposition

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