The parabolic geometry generated by the Möbius action of SL(2;ℝ) through the Erlangen Program
Inspired by the Erlangen Program of Felix Klein, we have studied the SL(2;ℝ)-action on complex, dual and double numbers focusing mainly on dual numbers. Using the Iwasawa decomposition, we have classified SL(2;ℝ) into three one-parameter subgroups denoted by A,N and K and studied their orbits. We ha...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University Constantin Brancusi of Targu-Jiu
2024-12-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | https://www.utgjiu.ro/math/sma/v19/p19_18.pdf |
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