Volume no :31, Issue no: 1, January

Journal of Mathematical Sciences: Advances and Applications

HOM-LIE ALGEBRAS ON STRICTLY UPPER TRIANGULAR MATRICES LIE ALGEBRA OVER A COMMUTATIVE RING: DERIVATION CASE

Author's: Chonghui Huang and Hengtai Wang
Pages: [57] - [68]
Received Date: December 23, 2014
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121432

Abstract

Let n be the nilpotent Lie algebra consisting of all strictly upper triangular matrices over a commutative ring. In this paper, we characterize the decomposition of the derivations of n when is a hom-Lie algebra. Meanwhile, the isomorphic classes are also determined.

Keywords

hom-Lie algebra, matrix Lie algebra, derivation.