Is it true that elements of the group \(\GL_2^+(\RR)\) of real \(2\times2\) matrices with positive determinant are conjugate in \(\GL_2^+(\RR)\) if and only if the matrices are similar (conjugate in \(\GL_2(\RR)\))? Either prove this or give a counterexample.
Conjugacy in $\GL_2^+(\RR)$ versus $\GL_2(\RR)$
P-BKS19-7B
- Area
- Prelim
- Seen at
- BERKELEY
- Years
- 2019
- Status
- draft