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arXiv · 2307.07967

Strongly reversible classes in $\mathrm{SL}(n,\mathbb{C})$

Krishnendu Gongopadhyay·Tejbir Lohan·Chandan Maity
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Abstract

An element of a group is called $\textit{strongly reversible}$ or $\textit{strongly real}$ if it can be expressed as a product of two involutions. We provide necessary and sufficient conditions for an element of $\mathrm{SL}(n,\mathbb{C})$ to be a product of two involutions. In particular, we classify the strongly reversible conjugacy classes in $\mathrm{SL}(n,\mathbb{C})$.

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Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity. 2023-07-16. Strongly reversible classes in $\mathrm{SL}(n,\mathbb{C})$. https://arxiv.org/abs/2307.07967

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