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arXiv · 2207.02684

On $\exp(Der(E))$ of nilpotent evolution algebras

Farrukh Mukhamedov·Otabek Khakimov·Izzat Qaralleh
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Abstract

In the present paper, every evolution algebra is endowed with Banach algebra norm. This together with the description of derivations and automorphisms of nilpotent evolution algebras, allows to investigated the set $\exp(Der(E))$. Moreover, it is proved that $\exp(Der(E))$ is a normal subgroup of $Aut(E)$, and its corresponding index is calculated.

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Farrukh Mukhamedov, Otabek Khakimov, Izzat Qaralleh. 2022-07-06. On $\exp(Der(E))$ of nilpotent evolution algebras. https://arxiv.org/abs/2207.02684

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