L0-Types common to a Borel-De Siebenthal Discrete series and its associated holomorphic discrete series[HBNI Th60]

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L0-Types common to a Borel-De Siebenthal Discrete series and its associated holomorphic discrete series[HBNI Th60]

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Title: L0-Types common to a Borel-De Siebenthal Discrete series and its associated holomorphic discrete series[HBNI Th60]
Author: Pampa Paul
Advisor: Parameswaran Sankaran; Raghavan, K.N.
Degree: Ph.D
Main Subjects: Mathematics
Institution: HBNI
Year: 2013
Pages: 58p.
Abstract: In this thesis, to each Borel-de Siebenthal discrete series representation of G(0), the author would associate a holomorphic discrete series representation of K*(0). The main aim of the thesis is to compare the restrictions to the compact subgroup L(0) of G(0) which is also a maximal compact subgroup of K*(0), of a Borel-de Siebenthal discrete series representation and its associated holomorphic discrete series representation under certain conditions. The question, "Does there exist common L(0) types between a Borel-de Siebenthal discrete series representation and its associated holomorphic discrete series representation?", is addressed in this thesis and it is completely settled in the so called quaternionic case.
URI: http://hdl.handle.net/123456789/346

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