Automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication
Zhangazinova D.M. Naurazbekova A.S.
2023E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2023#112Issue 4173 - 184 pp.
In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1, e2, . . ., em, . . . be a linear basis of A. In 2010 A. Naurazbekova, using the methods of Gröbner-Shirshov bases, constructed the basis of the universal (multiplicative) enveloping algebra U(A) of A. Using this result, the automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication are described.
affine automorphism , automorphism , basis , universal (multiplicative) enveloping algebra , Zinbiel (dual Leibniz) algebra
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L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
L.N. Gumilyov Eurasian National University
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