The Langlands-Shahidi method for pairs via types and covers

Author:

Jo Yeongseong,Krishnamurthy M.

Abstract

We compute the local coefficient attached to a pair ( π 1 , π 2 ) (\pi _1,\pi _2) of supercuspidal (complex) representations of the general linear group using the theory of types and covers à la Bushnell-Kutzko. In the process, we obtain another proof of a well-known formula of Shahidi for the corresponding Plancherel constant. The approach taken here can be adapted to other situations of arithmetic interest within the context of the Langlands-Shahidi method, particularly to that of a Siegel Levi subgroup inside a classical group.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

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