CATEGORICAL LANGLANDS CORRESPONDENCE FOR SOn,1(R)
نویسنده
چکیده
In the context of the local Langlands philosopy for R, Adams, Barbasch and Vogan describe a bijection between the simple Harish-Chandra modules for a real reductive group G(R) and the space of “complete geometric parameters”—a space of equivariant local systems on a variety on which the Langlands-dual of G(R) acts. By a conjecture of Soergel, this bijection can be enhanced to an equivalence of categories. In this article, that conjecture is proven in the case where G(R) is a generalized Lorentz group SOn,1(R).
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