Geometry associated with the $\text{SL}(3,\mathbb{R})$ action on homogeneous space using the Erlangen program

Geometry associated with the $\text{SL}(3,\mathbb{R})$ action on homogeneous space using the Erlangen program

We investigate the action of the Lie group $\text{SL}(3,\mathbb{R})$ on the two-dimensional homogeneous space. All the one-parameter subgroups (up to conjugacy) of $\text{SL}(3,\mathbb{R})$ are considered. We discuss the orbits and curvatures of these one-parameter subgroups. We also classify these...

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Bibliographic Details
Main Authors: Debapriya Biswas, Ipsita Rajwar
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2022-08-01
Series:Armenian Journal of Mathematics
Subjects:
Lie Group $\text{SL}(3,\mathbb{R})$
Homogeneous Space
Iwasawa Decomposition
One-Parameter Subgroups
Group Action
Derived Representation
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/659

Internet

http://armjmath.sci.am/index.php/ajm/article/view/659

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