Parabolic Induction
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups.If G is a reductive algebraic group and P = MAN is the Langlands decomposition of a parabolic subgroup P, then parabolic induction consists of taking a representation of MA, extending it to P by letting N act trivially, and inducing the result from P to G.There are some generalizations of parabolic induction using cohomol...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups.If G is a reductive algebraic group and P = MAN is the Langlands decomposition of a parabolic subgroup P, then parabolic induction consists of taking a representation of MA, extending it to P by letting N act trivially, and inducing the result from P to G.There are some generalizations of parabolic induction using cohomology, such as cohomological parabolic induction and Deligne Lusztig theory.
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