On the orbit of the centralizer of a matrix
Ching-I Hsin
Colloquium Mathematicae, Tome 91 (2002), p. 243-255 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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'.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284814 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-8,
     author = {Ching-I Hsin},
     title = {On the orbit of the centralizer of a matrix},
     journal = {Colloquium Mathematicae},
     volume = {91},
     year = {2002},
     pages = {243-255},
     zbl = {1037.15012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-8}
}

Ching-I Hsin. On the orbit of the centralizer of a matrix. Colloquium Mathematicae, Tome 91 (2002) pp. 243-255. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-8/