关于仿射对称空间SU(2,2)/SL(2,C)+R非紧分歧离散谱的一点注记

韩威; 范兴亚

doi:10.13568/j.cnki.651094.651316.2022.04.11.0004

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关于仿射对称空间SU(2,2)/SL(2,C)+R非紧分歧离散谱的一点注记

更新时间：2026-01-21

- 关于仿射对称空间SU(2,2)/SL(2,C)+R非紧分歧离散谱的一点注记
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 40, Issue 1, Pages: 17-22(2023)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2022.04.11.0004
  CLC： O152.5
- Published：2023
- 稿件说明：
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[1]韩威,范兴亚.关于仿射对称空间SU(2,2)/SL(2,C)+R非紧分歧离散谱的一点注记[J].新疆大学学报(自然科学版)(中英文),2023,40(01):17-22+29.
[1]韩威,范兴亚.关于仿射对称空间SU(2,2)/SL(2,C)+R非紧分歧离散谱的一点注记[J].新疆大学学报(自然科学版)(中英文),2023,40(01):17-22+29. DOI： 10.13568/j.cnki.651094.651316.2022.04.11.0004.

DOI：10.13568/j.cnki.651094.651316.2022.04.11.0004.

摘要

利用李代数so(4

C)的结构

证明了仿射对称空间SU(2

2)/SL(2

C)+R和SO(2

4)/SO(1

1)×SO(1

3)局部同构.结合SO(2

4)/SO(1

1)×SO(1

3)上的Kabayashi定理

作者得到了李群SU(2

2)的离散序列表示在其子群SL(2

C)+R上的消灭定理．

Abstract

The local isomorphism of affine symmetric spaces of Hermitian type SU(2

2)/SL(2

C) + R and SO(2

4)/SO(1

1)×SO(1

3) is proved

via the structure of Lie algebra so(4

C). Combing with Kabayashi's theorem on SO(2

4)/SO(1

1) × SO(1

the author obtained the vanishing theorem for the discrete series representation of Lie group SU(2

2) on its subgroup SL(2

C) + R.

关键词

Keywords

references

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