On endomorphisms of the Einstein gyrogroup in arbitrary dimension
P\'eter E. Frenkel
TL;DR
This paper characterizes all automorphisms and continuous endomorphisms of the Einstein gyrogroup across any dimension, extending previous three-dimensional results to a broader setting.
Contribution
It generalizes the classification of continuous endomorphisms of the Einstein gyrogroup from three dimensions to arbitrary dimensions.
Findings
Complete description of automorphisms in arbitrary dimensions
Extension of previous 3D results to higher dimensions
Identification of continuous endomorphisms in the Einstein gyrogroup
Abstract
We determine the automorphisms and the continuous endomorphisms of the Einstein gyrogroup in arbitrary dimension. This generalizes a recent result of Lajos Moln\'ar and D\'aniel Virosztek, who have determined the continuous endomorphisms in the three-dimensional case.
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