Bernstein center of supercuspidal blocks
نویسندگان
چکیده
منابع مشابه
On Certain Elements in the Bernstein Center of Gl2
Let F be a nonarchimedean local field of residue characteristic p, and let r be an odd natural number less than p. Using the work of Moy and Tadić, we find an element z of the Bernstein center of G = GL2(F ) that acts on any representation π of G by the scalar z(π) = tr ( Frob; (Symr ◦φπ)F ) , the trace of any geometric Frobenius element Frob of the absolute Weil group WF of F , acting on the i...
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The notion of depth is defined by Moy-Prasad [MP2]. The notion of a generic character will be defined in §9. When G = GLn or G is the multiplicative group of a central division algebra of dimension n with (n, p) = 1, our generic characters are just the generic characters in [My] (where the definition is due to Kutzko). Moreover, in these cases, our construction literally specializes to Howe’s c...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2019
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle-2016-0041