Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 9, Tome 289 (2002), pp. 134-148
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N. L. Gordeev; N. F. Kushpel'. On same-invariant linear groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 9, Tome 289 (2002), pp. 134-148. http://geodesic.mathdoc.fr/item/ZNSL_2002_289_a7/
@article{ZNSL_2002_289_a7,
author = {N. L. Gordeev and N. F. Kushpel'},
title = {On same-invariant linear groups},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {134--148},
year = {2002},
volume = {289},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_289_a7/}
}
TY - JOUR
AU - N. L. Gordeev
AU - N. F. Kushpel'
TI - On same-invariant linear groups
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 134
EP - 148
VL - 289
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_289_a7/
LA - en
ID - ZNSL_2002_289_a7
ER -
%0 Journal Article
%A N. L. Gordeev
%A N. F. Kushpel'
%T On same-invariant linear groups
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 134-148
%V 289
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_289_a7/
%G en
%F ZNSL_2002_289_a7
A linear group $G\le GL(V)$ is called same-invariant if the subspaces of linear invariants $V^g$ are the same for all $g\in G, g\ne1$. Below we consider properities of such a group $G$ under the assumption that $G$ contains unipotent elements.
