Scattered Representations of Complex Classical Lie Groups

被引：3

作者：

Dong, Chao-Ping ^{[1
]}

Wong, Kayue Daniel ^{[2
]}

机构：

[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China

[2] Chinese Univ Hong Kong, Sch Sci & Engn, Shenzhen 518172, Guangdong, Peoples R China

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 14期

基金：

中国国家自然科学基金;

关键词：

DIRAC COHOMOLOGY; UNITARY REPRESENTATIONS;

D O I：

10.1093/imrn/rnaa388

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As a continuation of [9], this paper studies scattered representations of SO(2n+1, C), Sp(2n, C), and SO(2n, C). We describe the Zhelobenko parameters of these representations, count their cardinality, and determine their spin-lowest K-types. We also disprove a conjecture raised in 2015 asserting that the unitary dual can be obtained via parabolic induction from irreducible unitary representations with nonzero Dirac cohomology.

引用

页码：10431 / 10457

页数：27

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