TY - JOUR
ID - 676
TI - On dimensions of derived algebra and central factor of a Lie algebra
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Arabyani, H.
AU - Saeedi, F.
AD - Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Y1 - 2015
PY - 2015
VL - 41
IS - 5
SP - 1093
EP - 1102
KW - Capable Lie algebra
KW - minimal generator
KW - derived algebra
KW - central factor
DO -
N2 - Some Lie algebra analogues of Schur's theorem and its converses are presented. As a result, it is shown that for a capable Lie algebra L we always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- porting our results.
UR - http://bims.iranjournals.ir/article_676.html
L1 - http://bims.iranjournals.ir/article_676_3da7c8c3cba5c1fff10c3774678d395f.pdf
ER -