Weil representation, Howe duality, and the theta correspondence
Weil representation, Howe duality, and the theta correspondence
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Weil 表示、Howe 对偶性和 theta 对应
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
Dipendra Prasad
中科院分区：
文献类型：
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作者：
Dipendra Prasad
这些是在蒙特利尔举行的关于韦尔表示的一些讲座。这些讲座的目的是向观众介绍这一重要的表示，并显示它是如何有用的，在建设表示的p-adic群和自守形式通过对偶还原对。这些讲座没有包含任何严肃的证据，因为由于时间的限制，包含所有技术细节只会削弱全球结构。我们指的是读者的好书Moeglin，Vigneras，Waldspurger [MVW]的所有证据在当地的非阿基米德的情况下，和基本文件豪[H2]和[H3]的真实的理论。我要感谢M。感谢拉姆·默蒂邀请我来CRM做这些讲座，感谢他对这些讲座的兴趣以及他在蒙特利尔的热情好客。感谢S。给B鼓励。渴望仔细阅读手稿。
These are some expository lectures given in Montreal on the Weil representation. The aim of these lectures was to introduce the audience to this important representation and to show how it has been useful in constructing representations of p-adic groups and automorphic forms via dual reductive pairs. These lectures contain no serious proofs, for given the limitations of time, the inclusion of all the technical details would only have served to detract from the global structure. We refer the reader to the nice book of Moeglin, Vigneras, Waldspurger [MVW] for all the proofs in the local non-archimedean case, and the basic papers of Howe [H2] and [H3] for the real theory. I would like to thank M. Ram Murty for inviting me to CRM to give these lectures, and for his interest in these lectures and his hospitality in Montreal. Thanks are also due to S. Gelbart for encouragement and to B. Sury for a careful reading of the manuscript.