特征循环、微局部包和上同调包

arXiv: Representation Theory Pub Date : 2019-06-21 DOI:10.1090/tran/8492

Nicol'as Arancibia

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引用次数: 3

摘要

根据Kashiwara-Schapira和Schmid-Vilonen的工作，我们描述了特征环在几何归纳法运算中的行为，几何归纳法是表示理论中采用抛物或上同调归纳法的几何对应。通过这样做，我们能够根据被诱导表征的特征周期来描述与诱导表征相关的特征周期。

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Characteristic cycles, micro local packets and packets with cohomology

Relying on work of Kashiwara-Schapira and Schmid-Vilonen, we describe the behaviour of characteristic cycles with respect to the operation of geometric induction, the geometric counterpart of taking parabolic or cohomological induction in representation theory. By doing this, we are able to describe the characteristic cycle associated to an induced representation in terms of the characteristic cycle of the representation being induced.

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arXiv: Representation Theory

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