Alghamdi, Amjad Saleh M (2021) Representation Theory for the Group SL_2(R). PhD thesis, University of Leeds.
Abstract
This thesis is concerned with the representation theory for the special linear Lie group SL_2(R). After the introduction and background material in the second chapter, we present the representation theory of the affine group, which is a subgroup of SL_2(R). The classification of the irreducible unitary representation of SL_2(R) was achieved by Bargmann [4]. Here, a new study of the SL_2(R) unitary representation is provided by using an inducing procedure and Gelfand method [13,VII]. Also, we investigate the representation of the group SL_2(R) on holomorphic spaces of function on the unit disc.
Metadata
Supervisors: | Kisil, Vladimir |
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Keywords: | Representations, affine group, SL_2(R) group, covariant transform, holomorphic space. |
Awarding institution: | University of Leeds |
Academic Units: | The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Mrs Amjad Alghamdi |
Date Deposited: | 17 Jun 2022 07:33 |
Last Modified: | 17 Jun 2022 07:33 |
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