1Dept. of Mathematics and Computer Science, Eastern Connecticut State University, 83 Windham Street, Willimantic, CT 06226, U.S.A. 2Dept. of Mathematics, The University of Toledo, 2801 W Bancroft St., Toledo, OH 43606, U.S.A.
Journal of Lie Theory, Tome 23 (2013) no. 2, pp. 313-355
This paper attempts to correct and simplify an old paper by G. M. Mubarakzyanov which classifies the six-dimensional indecomposable solvable Lie algebras for which the nilradical is five-dimensional. Mubarakzyanov discerned nine classes of such algebras depending on the isomorphism class of the nilradical. Each of these nine classes is re-examined. Many errors are corrected and a few algebras are shown to be redundant. In many cases some parameters can be removed completely. In addition the range of values of the parameters that occur in many classes are reduced, an issue which Mubarakzyanov did not treat very systematically.
1
Dept. of Mathematics and Computer Science, Eastern Connecticut State University, 83 Windham Street, Willimantic, CT 06226, U.S.A.
2
Dept. of Mathematics, The University of Toledo, 2801 W Bancroft St., Toledo, OH 43606, U.S.A.
Anastasia Shabanskaya; Gerard Thompson. Six-Dimensional Lie Algebras with a Five-Dimensional Nilradical. Journal of Lie Theory, Tome 23 (2013) no. 2, pp. 313-355. http://geodesic.mathdoc.fr/item/JOLT_2013_23_2_a0/
@article{JOLT_2013_23_2_a0,
author = {Anastasia Shabanskaya and Gerard Thompson},
title = {Six-Dimensional {Lie} {Algebras} with a {Five-Dimensional} {Nilradical}},
journal = {Journal of Lie Theory},
pages = {313--355},
year = {2013},
volume = {23},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_2_a0/}
}
TY - JOUR
AU - Anastasia Shabanskaya
AU - Gerard Thompson
TI - Six-Dimensional Lie Algebras with a Five-Dimensional Nilradical
JO - Journal of Lie Theory
PY - 2013
SP - 313
EP - 355
VL - 23
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2013_23_2_a0/
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