ON ISOMORPHISM OF LIE ALGEBRAS WITH ONE DEFINING RELATION

2004

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DOI 10.1142/s0218196704001773
Data confidence 70 medium
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Abstract

Let L be a finitely generated free Lie algebra. We construct an example of two elements u and v of L such that the factor algebras L/(u) and L/(v) are isomorphic, where (u) and (v) are ideals of L generated by u and v, respectively, but there is no automorphism φ of L such that φ(u)=v.