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Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex

Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex

This paper is devoted to the nilpotent finite-dimensional evolution algebras [Formula: see text] with [Formula: see text]. We describe the Lie algebra of derivations of these algebras. Moreover, in terms of these Lie algebras, we fully construct nilpotent evolution algebra with maximal index of nilpotency. Furthermore, this result allowed us …