Eigenspace representations on SL (2, R)/SO(2)

HKUST Electronic Theses

Eigenspace representations on SL (2, R)/SO(2)

by Haipeng Xing

THESIS 2000

M.Phil. Mathematics

viii, 37 leaves ; 30 cm

Abstract
In this thesis, the structure of the eigenspace representations on SL(2,R)/S0(2) is studied in full generality. After observing some properties of the principal series representations and induced representations, we prove that the eigenspace representations on SL(2,R)/S0(2) are isomorphic to some spherical principal series of SL(2,R), and describe their algebraic structures completely.

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Details

Collection HKUST Electronic Theses Degree M.Phil. Department Mathematics Authors Xing, Haipeng Subjects Representations of groups Lie groups Language English Call number Thesis MATH 2000 Xing DOI 10.14711/thesis-b672604

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Eigenspace representations on SL (2, R)/SO(2)

by Haipeng Xing

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