Affine automorphisms of the universal multiplicative enveloping algebra of the two-dimensional left-symmetric algebra with zero multiplication

2022

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DOI 10.47533/2020.1606-146x.203
Data confidence 70 medium
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Abstract

We construct the basis of the universal multiplicative enveloping algebra of the left-symmetric algebra. We also describe the affine automorphisms of the universal multiplicative enveloping algebra of the twodimensional left-symmetric algebra with zero multiplication.