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Title: The Geometry of the Projective Action of SL(3, R) from the Erlangen Perspective
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Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
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Abstract:
In this paper, we have investigated the projective action of the Lie group SL(3, R) on the homogeneous space RP2. In particular, we have studied the action of the subgroups of SL(3, R) on the non-degenerate conics in the space RP2. Using the Iwasawa decomposition of SL(2, R), we demonstrate that the isotropy subgroup of the projective unit circle is isomorphic to PSL(2, R) under certain conditions.
Format:
Identifier:
oai:arar.sci.am:368229 ; click here to follow the link
General note:
Electronic Open Access Publication of the National Academy of Sciences of Armenia
Digitization:
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան
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Last modified:
Jan 24, 2025
In our library since:
Jan 16, 2024
Number of object content hits:
45
All available object's versions:
https://arar.sci.am/publication/397974
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Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Armenian Journal of Mathematics, 2008, Volume 1
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Armenian Journal of Mathematics, 2009, Volume 2
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Armenian Journal of Mathematics, 2024, Volume 16, Issue 1-15
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Armenian Journal of Mathematics, 2008, Volume 1
| Edition name | Date |
|---|---|
| Biswas, D., The Geometry of the Projective Action of SL(3, R) from the Erlangen Perspective | Jan 24, 2025 |
