2022Bulletin of the National Engineering Academy of the Republic of KazakhstanOpen access

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

D. Zhangazinova, A. S. Naurazbekova, Daniyar Kozybaev

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Multiplicative function, Mathematics, Symmetric algebra, Automorphism, Universal enveloping algebra, Multiplication (music), Zero (linguistics), Filtered algebra

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