Duality for admissible locally analytic representations
Duality for admissible locally analytic representations
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DOI：
10.1090/s1088-4165-05-00277-3
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发表时间：
2004-03
期刊：
影响因子：
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通讯作者：
P. Schneider;J. Teitelbaum
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文献类型：
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作者：
P. Schneider;J. Teitelbaum
研究了p进解析群G的容许局部解析表示范畴上的逆函子的构造问题。天真的矛盾是不存在的。作为一个最佳逼近，我们从G的分布代数上的有界导模范畴构造了一个对合的对偶函子。在对应于光滑表示的复形的子范畴上，这个函子诱导出通常的光滑逆成分（带有度移位）。虽然我们构造我们的函子一般我们得到它的对合性，由于技术原因，只有在局部QP-解析群的情况下。
We study the problem of constructing a contragredient functor on the category of admissible locally analytic representations of a p-adic analytic group G. A naive contragredient does not exist. As a best approximation, we construct an involutive "duality" functor from the bounded derived category of modules over the distribution algebra of G with coadmissible cohomology to itself. On the subcategory corresponding to complexes of smooth representations, this functor induces the usual smooth contragredient (with a degree shift). Although we construct our functor in general we obtain its involutivity, for technical reasons, only in the case of locally Qp-analytic groups.