L0-Types common to a Borel-De Siebenthal Discrete series and its associated holomorphic discrete series
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TextPublication details: 2013Description: 58pSubject(s): Mathematics | Borel-de Siebenthal Discrete Series | Discrete Series | HBNI Th60 | Holomorphic Discrete SeriesOnline resources: Click here to access online Dissertation note: 2013Ph.DHBNI 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.
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| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | HBNI Th60 (Browse shelf (Opens below)) | Link to resource | Available | 69367 |
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2013
Ph.D
HBNI
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.
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