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Formal Deformations and Principal Series Representations of SL(2, ℝ) and SL(2, ℂ)
Czechoslovak Mathematical Journal ( IF 0.4 ) Pub Date : 2020-07-01 , DOI: 10.21136/cmj.2020.0053-19
Benjamin Cahen

In this note, we study formal deformations of derived representations of the principal series representations of SL(2, ℝ). In particular, we recover all the representations of the derived principal series by deforming one of them. Similar results are also obtained for SL(2, ℂ).



中文翻译:

SL(2,ℝ)和SL(2,ℂ)的形式变形和主序列表示

在本注释中,我们研究SL(2,ℝ)的主序列表示形式的派生表示形式的形式变形。特别是,我们通过变形其中之一来恢复派生主系列的所有表示。对于SL(2,ℂ)也获得了相似的结果。

更新日期:2020-08-25
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