Open AccessUpper triangular parts of conjugacy classes of nilpotent matrices with finite number of $B$-orbits
Author(s) -
Lucas Fresse
Publication year - 2013
Publication title -
journal of the mathematical society of japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.047
H-Index - 36
eISSN - 1881-1167
pISSN - 0025-5645
DOI - 10.2969/jmsj/06530967
Subject(s) - conjugacy class , mathematics , triangular matrix , invertible matrix , intersection (aeronautics) , nilpotent , pure mathematics , nilpotent group , group (periodic table) , class (philosophy) , upper and lower bounds , combinatorics , matrix (chemical analysis) , mathematical analysis , chemistry , materials science , organic chemistry , composite material , artificial intelligence , computer science , engineering , aerospace engineering
International audienceWe 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