Matrix lie rings that contain an abelian subring

Authors

  • Evgenii L. Bashkirov Department of Physics and Mathematics, Smolensk State University, Przhevalsky st. 4, Smolensk 214000 Russia.

Keywords:

Lie rings, lie algebras, semi-simple matrices, nilpotent matrices

Abstract

Let kk be a field and ¯¯¯kk¯ an algebraic closure of kk. The paper is devoted to the description of subrings of the Lie ring sl2overlineksl2overlinek that contain an abelian subring which is a one-dimensional subspace of the kk-vector space sl2overlineksl2overlinek.

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Published

2008-12-31

Issue

Vol. 4 No. 1 (2008): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Matrix lie rings that contain an abelian subring. (2008). Journal of Prime Research in Mathematics, 4(1), 113 – 117. https://jprm.sms.edu.pk/index.php/jprm/article/view/38