1Warburg Pincus LLC, London, England 2Dept. of Mathematics, University of Toronto, Bahen Centre, 40 St. George Street, Toronto M5S 2E4, Canada 3School of Computer Science, McGill University, Montreal, Canada
Journal of Lie Theory, Tome 22 (2012) no. 4, pp. 1039-1048
We describe the orbit structure for the action of the centralizer group C(T) of a linear operator T on a finite-dimensional complex vector space V. The main application is to the classification of solutions to a system of first-order ODEs with constant coefficients. We completely describe the lattice structure on the set of orbits and provide a generating function for the number of orbits in each dimension.
Paul Best
1
;
Marco Gualtieri
2
;
Patrick Hayden
3
1
Warburg Pincus LLC, London, England
2
Dept. of Mathematics, University of Toronto, Bahen Centre, 40 St. George Street, Toronto M5S 2E4, Canada
3
School of Computer Science, McGill University, Montreal, Canada
Paul Best; Marco Gualtieri; Patrick Hayden. Orbits of the Centralizer of a Linear Operator. Journal of Lie Theory, Tome 22 (2012) no. 4, pp. 1039-1048. http://geodesic.mathdoc.fr/item/JOLT_2012_22_4_a4/
@article{JOLT_2012_22_4_a4,
author = {Paul Best and Marco Gualtieri and Patrick Hayden},
title = {Orbits of the {Centralizer} of a {Linear} {Operator}},
journal = {Journal of Lie Theory},
pages = {1039--1048},
year = {2012},
volume = {22},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2012_22_4_a4/}
}
TY - JOUR
AU - Paul Best
AU - Marco Gualtieri
AU - Patrick Hayden
TI - Orbits of the Centralizer of a Linear Operator
JO - Journal of Lie Theory
PY - 2012
SP - 1039
EP - 1048
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2012_22_4_a4/
ID - JOLT_2012_22_4_a4
ER -
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%A Marco Gualtieri
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%T Orbits of the Centralizer of a Linear Operator
%J Journal of Lie Theory
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%P 1039-1048
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%U http://geodesic.mathdoc.fr/item/JOLT_2012_22_4_a4/
%F JOLT_2012_22_4_a4
