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July, 2013 Upper triangular parts of conjugacy classes of nilpotent matrices with finite number of $B$-orbits
Lucas FRESSE
J. Math. Soc. Japan 65(3): 967-992 (July, 2013). DOI: 10.2969/jmsj/06530967

Abstract

We consider the intersection of the conjugacy class of a nilpotent matrix with the space of upper triangular matrices. We give necessary and sufficient conditions for this intersection to be a union of finitely many orbits for the action by conjugation of the group of invertible upper triangular matrices.

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Lucas FRESSE. "Upper triangular parts of conjugacy classes of nilpotent matrices with finite number of $B$-orbits." J. Math. Soc. Japan 65 (3) 967 - 992, July, 2013. https://doi.org/10.2969/jmsj/06530967

Information

Published: July, 2013
First available in Project Euclid: 23 July 2013

zbMATH: 1350.17006
MathSciNet: MR3084986
Digital Object Identifier: 10.2969/jmsj/06530967

Subjects:
Primary: 17B08
Secondary: 05E10, 20G99

Rights: Copyright © 2013 Mathematical Society of Japan

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Vol.65 • No. 3 • July, 2013
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