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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2019 Volume 22, Issue 5, Pages 209–242 (Mi fpm1849)

This article is cited in 4 papers

Algebraic Lie algebras of bounded degree

A. Yu. Golubkov

Faculty of Informatics and Control Systems, Bauman Moscow State Technical University, Moscow, Russia

Abstract: The paper discusses the questions of coincidence of the basic nil-radicals on classes of algebraic Lie algebras and proves the local finite-dimensionality of Lie algebras with an algebraic adjoint representation of bounded degree over fields of sufficiently large positive characteristic.

UDC: 512.554.36+512.554.7


 English version:
Journal of Mathematical Sciences (New York), 2021, 259:4, 528–551


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