On the orbit of the centralizer of a matrix

• Autorzy: Ching-I Hsin
• Języki publikacji: EN

Abstrakty

EN

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'.

Kategorie tematyczne

• 15A21: Canonical forms, reductions, classification
• 47A15: Invariant subspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 92
• Numer: 2
• Strony: 243-255

Daty

wydano

2002

Twórcy

autor

Ching-I Hsin

• Division of Mathematics, Minghsin Institute of Technology, Hsinchu County 304, Taiwan

Identyfikatory

DOI

10.4064/cm92-2-8