On the combinatorics of unramified admissible modules
نویسنده
چکیده
We construct a certain topological algebra Ext♯G∨X(χ) from a Deligne-Langlands parameter space X(χ) attached to the group of rational points of a connected split reductive algebraic group G over a non-Archimedean local field K. Then we prove the equivalence between the category of continuous modules of Ext♯G∨X(χ) and the category of unramified admissible modules of G(K) with a generalized infinitesimal character corresponding to χ. This is an analogue of Soergel’s conjecture which concerns the real reductive setting.
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