Isoclinic extensions of Lie algebras

Authors

HAMID MOHAMMADZADEH
ALI REZA SALEMKAR
ZAHRA RIYAHI

DOI

10.3906/mat-1204-7

Abstract

In this article we introduce the notion of the equivalence relation, isoclinism, on the central extensions of Lie algebras, and determine all central extensions occurring in an isoclinism class of a given central extension. We also show that under some conditions, the concepts of isoclinism and isomorphism between the central extensions of finite dimensional Lie algebras are identical. Finally, the connection between isoclinic extensions and the Schur multiplier of Lie algebras are discussed.

Keywords

Lie algebra, isoclinic extensions, Schur multiplier, stem cover

First Page

598

Last Page

606

Recommended Citation

MOHAMMADZADEH, HAMID; SALEMKAR, ALI REZA; and RIYAHI, ZAHRA (2013) "Isoclinic extensions of Lie algebras," Turkish Journal of Mathematics: Vol. 37: No. 4, Article 7. https://doi.org/10.3906/mat-1204-7
Available at: https://journals.tubitak.gov.tr/math/vol37/iss4/7