Geometric Invariants Under the Möbius Action of the Group SL(2;R)

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DOI: 10.46793/KgJMat2106.925B


In this paper we have introduced new invariant geometric objects in the homogeneous spaces of complex, dual and double numbers for the principal group SL(2; ), in the Klein’s Erlangen Program. We have considered the action as the Möbius action and have taken the spaces as the spaces of complex, dual and double numbers. Some new decompositions of SL(2; ) have been used.


Lie group, SL(2; ) group, Invariants, Möbius transformation, Homogeneous spaces, Iwasawa decomposition


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