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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Chongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404020, Peoples R ChinaChongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404020, Peoples R China
Jia, Songfang
Chen, Yanheng
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Chongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404020, Peoples R ChinaChongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404020, Peoples R China
Chen, Yanheng
Li, Jinbao
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Chongqing Univ Arts & Sci, Sch Math & Big Data, Chongqing 402160, Peoples R ChinaChongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404020, Peoples R China
机构:
Hungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, HungaryHungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, Hungary
Jezernik, Urban
Sanchez, Jonatan
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Univ Politecn Madrid, Dept Appl Math DMATIC, ETSI Ingenieros Informat, Campus Montegancedo,Ave Monteprincipe, Boadilla Del Monte 28660, SpainHungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, Hungary