Strongly reversible classes in SL(n,ℂ)

2023/07/16 by Krishnendu Gongopadhyay, Gongopadhyay, Krishnendu, Tejbir Lohan +3 · 1 citation
Mathematics · #Finite Group Theory Research #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2307.07967

Abstract

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

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