Kisil, VV orcid.org/0000-0002-6593-6147 and Biswas, D (2004) Elliptic, parabolic and hyperbolic analytic function theory-0: Geometry of domains. Transactions of Institute of Mathematics of NAS of Ukraine, 1.
Abstract
This paper lays down a foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theory based on the representation theory of SL(2,R) group. We describe here geometries of corresponding domains. The principal role is played by Clifford algebras of matching types.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | This is an author produced version of an article published in Transactions of Institute of Mathematics of NAS of Ukraine. |
Keywords: | Hyperbolic; Elliptic; analytic function theory; semisimple groups; parabolic; Clifford algebras |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 04 Mar 2020 15:04 |
Last Modified: | 06 Mar 2020 01:32 |
Status: | Published |
Publisher: | Institute of Mathematics of the NAS of Ukraine |
Series Name: | Trans. Inst. Math. of the NAS of Ukraine |
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Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111545 |