Erlangen Program at Large-1: Geometry of Invariants
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Erlangen Program at Large-1: Geometry of Invariants
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| Creator |
Kisil, V.V.
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| Description |
This paper presents geometrical foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theories based on the representation theory of SL₂(R) group. We describe here geometries of corresponding domains. The principal rôle is played by Clifford algebras of matching types. In this paper we also generalise the Fillmore-Springer-Cnops construction which describes cycles as points in the extended space. This allows to consider many algebraic and geometric invariants of cycles within the Erlangen program approach.
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| Date |
2019-02-09T19:41:56Z
2019-02-09T19:41:56Z 2010 |
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| Type |
Article
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| Identifier |
Erlangen Program at Large-1: Geometry of Invariants / V.V. Kisil // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 73 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 30G35; 22E46; 30F45; 32F45 DOI:10.3842/SIGMA.2010.076 http://dspace.nbuv.gov.ua/handle/123456789/146514 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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