A subalgebra h of a Lie algebra g determines an h-representation ρ on m = g / h. We discuss how to reconstruct g from (h, m, ρ). In other words, we find all the ingredients for building non-reductive Klein geometries. The Lie algebra cohomology plays a decisive role here.
1
Dept. of Mathematics and Statistics, Faculty of Science and Technology, UiT the Arctic University of Norway, Tromsoe 90-37, Norway
Boris Kruglikov; Henrik Winther. Reconstruction from Representations: Jacobi via Cohomology. Journal of Lie Theory, Tome 27 (2017) no. 4, pp. 1141-1150. http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a13/
@article{JOLT_2017_27_4_a13,
author = {Boris Kruglikov and Henrik Winther},
title = {Reconstruction from {Representations:} {Jacobi} via {Cohomology}},
journal = {Journal of Lie Theory},
pages = {1141--1150},
year = {2017},
volume = {27},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a13/}
}
TY - JOUR
AU - Boris Kruglikov
AU - Henrik Winther
TI - Reconstruction from Representations: Jacobi via Cohomology
JO - Journal of Lie Theory
PY - 2017
SP - 1141
EP - 1150
VL - 27
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a13/
ID - JOLT_2017_27_4_a13
ER -
%0 Journal Article
%A Boris Kruglikov
%A Henrik Winther
%T Reconstruction from Representations: Jacobi via Cohomology
%J Journal of Lie Theory
%D 2017
%P 1141-1150
%V 27
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a13/
%F JOLT_2017_27_4_a13
