Upper triangular parts of conjugacy classes of nilpotent matrices with finite number of $B$-orbits | Zendy

Lucas Fresse | Zendy

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Upper 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 , upper and lower bounds , group (periodic table) , class (philosophy) , combinatorics , matrix (chemical analysis) , discrete mathematics , 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

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