Unipotent Representations, Theta Correspondences, and Quantum Induction

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Hongyu He
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引用次数: 0

Abstract

In this paper, we construct unipotent representations for the real orthagonal groups and the metaplectic groups in the sense of Vogan. Our construction is based on quantum induction which involves the compositions of even number of theta correspondences. In particular, our results imply that there are irreducible unitary representations attached to each special nilpotent orbit.
单能表示、Theta 对应和量子归纳
在本文中,我们构建了实正交群和 Vogan 意义上的元映射群的单能表示。我们的构造基于量子归纳法,其中涉及偶数 Theta 对应的组合。特别是,我们的结果意味着每个特殊零potent 轨道都有不可还原的单元表示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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