On the orbit of the centralizer of a matrix
Colloquium Mathematicae (2002)
- Volume: 92, Issue: 2, page 243-255
- ISSN: 0010-1354
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topChing-I Hsin. "On the orbit of the centralizer of a matrix." Colloquium Mathematicae 92.2 (2002): 243-255. <http://eudml.org/doc/284814>.
@article{Ching2002,
abstract = {Let A be a complex n × n matrix. Let A' be its commutant in Mₙ(ℂ), and C(A) be its centralizer in GL(n,ℂ). Consider the standard C(A)-action on ℂⁿ. We describe the C(A)-orbits via invariant subspaces of A'. For example, we count the number of C(A)-orbits as well as that of invariant subspaces of A'.},
author = {Ching-I Hsin},
journal = {Colloquium Mathematicae},
keywords = {centralizer; commutant; lattice; Jordan form; orbits; invariant subspaces},
language = {eng},
number = {2},
pages = {243-255},
title = {On the orbit of the centralizer of a matrix},
url = {http://eudml.org/doc/284814},
volume = {92},
year = {2002},
}
TY - JOUR
AU - Ching-I Hsin
TI - On the orbit of the centralizer of a matrix
JO - Colloquium Mathematicae
PY - 2002
VL - 92
IS - 2
SP - 243
EP - 255
AB - Let A be a complex n × n matrix. Let A' be its commutant in Mₙ(ℂ), and C(A) be its centralizer in GL(n,ℂ). Consider the standard C(A)-action on ℂⁿ. We describe the C(A)-orbits via invariant subspaces of A'. For example, we count the number of C(A)-orbits as well as that of invariant subspaces of A'.
LA - eng
KW - centralizer; commutant; lattice; Jordan form; orbits; invariant subspaces
UR - http://eudml.org/doc/284814
ER -
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