Complex hyperbolic representations of PSL2( R )

被引：0
|
作者：
Stolowicz, Gonzalo Emiliano Ruiz [1 ]
机构：
[1] Ecole Polytech Fed Lausanne, Inst Math, Lausanne, Switzerland
来源：
MATHEMATISCHE ANNALEN | 2024年 / 390卷 / 03期
关键词：
D O I：
10.1007/s00208-024-02832-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a two-parameter family of irreducible representations of PSL2( R ) in the isometry group of the infinite-dimensional complex hyperbolic space. To this end, we introduce the notion of horospherical combination of two representations. Our family then appears as horospherical combinations of two known one-parameter families.
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页码：3723 / 3764
页数：42
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