Gindikin, Simon

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TitleComplex integral geometry on real semisimple Lie groups (LieGroups, Geometric Structures and Differential Equations : OneHundred Years after Sophus Lie)Author(s)Gindikin, SimonCitation数理解析研究所講究録 (2000), 1150: 133-133Issue Date2000-04URL http://hdl.handle.net/2433/64048RightType Departmental Bulletin PaperTextversionpublisherKyoto UniversityComplex integral geometry on real semisimple Lie groupsSimon Gindikin (Rutgers Univ.)Abstract. The integral geometry unifies two principal areas of Sofus Lie: Lie grotlps andmanifolds of geometrical objects. I will talk about asoluCion $0[Gclf_{c}^{l}\iota nd’ sp\iota\cdot ob1_{C^{\backslash }Ift:}a$ .construction of horospherical transform which gives a possibility to dcvclop the $h_{C}^{;}\iota rI$ ltonicanalysis for real semisimple Lie groups. It is remarkable, that in the center of lllc collsl $I^{\cdot}uc-$tion lies some complex geometry which is responsible for the real picture. Such $IJ1\iota e11onlt^{\backslash },nas$were favorite ones in the time of Pluecker-Lie.1150 2000 p.133 133

Complex integral geometry on real semisimple Lie groups (Lie Groups, Geometric Structures and Differential Equations : One Hundred Years after Sophus Lie)

http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/64048/1/1150-22.pdf

Complex integral geometry on real semisimple Lie groups (Lie Groups, Geometric Structures and Differential Equations : One Hundred Years after Sophus Lie)

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