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Sibirsk. Mat. Zh., 2025 Volume 66, Number 5, Pages 937–950 (Mi smj7990)

On isomorphisms of endomorphs and Witt doubles

A. P. Pozhidaev

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: The description of isomorphisms of endomorphs of arbitrary finite-dimensional algebras that are not strictly local is reduced to the description of isomorphisms of the initial algebras and to the description of the differential automorphisms of the original associative commutative differentiably simple algebras in the case of finite-dimensional simple left-symmetric Witt doubles over an algebraically closed field of prime characteristic.

Keywords: endomorph, Witt double, isomorphism, automorphism, left-symmetric algebra, simple algebra, pre-Lie algebra.

UDC: 512.554

MSC: 35R30

Received: 12.03.2025
Revised: 12.03.2025
Accepted: 13.05.2025

DOI: 10.33048/smzh.2025.66.514


 English version:
Siberian Mathematical Journal, 2025, 66:5, 1242–1253


© Steklov Math. Inst. of RAS, 2026