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- W4385649322 abstract "We extend the classical results on the classification of the reversible elements of the group $mathrm{GL}(n, {mathbb C})$ (and $mathrm{GL}(n, mathbb R)$) to $mathrm{GL}(n, mathbb H)$ using an infinitesimal version of the classical reversibility, namely adjoint reality in the Lie algebra set-up. We also provide a new proof of such a classification for the general linear groups over $mathbb R$ and ${mathbb C}$. Further, we classify the real adjoint orbits in the Lie algebra $mathfrak{gl}(n, mathbb D )$ for $mathbb D=mathbb R, {mathbb C}$ or $mathbb H$." @default.
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- W4385649322 date "2023-08-08" @default.
- W4385649322 modified "2023-09-25" @default.
- W4385649322 title "Reversibility and real adjoint orbits of linear maps" @default.
- W4385649322 doi "https://doi.org/10.4171/irma/34/15" @default.
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