Conjugate reversibility in complex special linear groups
Conjugate reversibility in complex special linear groups
We introduce and study conjugate reversibility (or $c$-reversibility) in the complex special linear group $\SL(n,\C)$ where an element is conjugate to the inverse of its complex conjugate. We prove that in $\SL(n, \C)$, every $c$-reversible element is strongly $c$-reversible. We provide a complete classification of $c$-reversible elements based on their conjugacy invariants. This leads to an algebraic characterization of projective transformations. As a special case, a finer classification in $\SL(4, \C)$ is obtained in terms of trace conditions and resultant computations.
Krishnendu Gongopadhyay、Rahul Mondal
数学
Krishnendu Gongopadhyay,Rahul Mondal.Conjugate reversibility in complex special linear groups[EB/OL].(2025-06-18)[2025-07-01].https://arxiv.org/abs/2506.15336.点此复制
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