We characterize H-like Lie algebras in terms of subspaces of cones over conjugacy classes in Rq, translating the classification problem for H-like Lie algebras to an equivalent problem in linear algebra. We study properties of H-like Lie algebras, present new methods for constructing them, including tensor products and central sums, and we classify H-like Lie algebras whose associated JZ-maps have real rank two for all nonzero Z.
1
Dept. of Mathematics and Statistics, Idaho State University, Pocatello, ID 83209-8085, U.S.A.
Cathy Kriloff; Tracy Payne. A Different Perspective on H-like Lie Algebras. Journal of Lie Theory, Tome 30 (2020) no. 4, pp. 981-996. http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a4/
@article{JOLT_2020_30_4_a4,
author = {Cathy Kriloff and Tracy Payne},
title = {A {Different} {Perspective} on {H-like} {Lie} {Algebras}},
journal = {Journal of Lie Theory},
pages = {981--996},
year = {2020},
volume = {30},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a4/}
}
TY - JOUR
AU - Cathy Kriloff
AU - Tracy Payne
TI - A Different Perspective on H-like Lie Algebras
JO - Journal of Lie Theory
PY - 2020
SP - 981
EP - 996
VL - 30
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a4/
ID - JOLT_2020_30_4_a4
ER -
%0 Journal Article
%A Cathy Kriloff
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%J Journal of Lie Theory
%D 2020
%P 981-996
%V 30
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a4/
%F JOLT_2020_30_4_a4
