Lie algebras induced by a nonzero field derivation / Gein A. G. // SIBERIAN MATHEMATICAL JOURNAL. - 2017. - V. 58, l. 5. - P. 786-793.

ISSN/EISSN:

0037-4466 / 1573-9260

Type:

Article

Abstract:

Given a finite-dimensional associative commutative algebra A over a field F, we define the structure of a Lie algebra using a nonzero derivation D of A. If A is a field and charF > 3; then the corresponding algebra is simple, presenting a nonisomorphic analog of the Zassenhaus algebra W (1)(m).

Author keywords:

simple Lie algebra; field derivation; Zassenhaus algebra; A-algebra AD-NILPOTENT ELEMENTS

DOI:

10.1134/S0037446617050056

Web of Science ID:

ISI:000413438200005

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	SEP
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1573-9260
Keywords-Plus	AD-NILPOTENT ELEMENTS
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	A.G.Geyn@urfu.ru
Funding-Acknowledgement	Government of the Russian Federation Program; Ural Federal University {[}02.A03.21.0006]
Funding-Text	The author was supported by the Government of the Russian Federation Program and Ural Federal University (Grant 02.A03.21.0006 on 27.08.2013).
Number-of-Cited-References	8
Journal-ISO	Sib. Math. J.
Doc-Delivery-Number	FK4DA