论文标题

nilpotent Evolution代数的$ \ exp(der(e))$

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

论文作者

Mukhamedov, Farrukh, Khakimov, Otabek, Qaralleh, Izzat

论文摘要

在本文中,每个进化代数都赋予Banach代数规范。这与Nilpotent Evolution代数的派生和自动形态的描述一起允许研究设置$ \ exp(der(e))$。此外,证明$ \ exp(der(e))$是$ aut(e)$的普通子组,并且计算其相应的索引。

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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