Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size

被引：0

作者：

Bogdanic, Dusko ^{[1
]}

Duric, Alen ^{[2
]}

Koljancic, Sara ^{[1
]}

Oblak, Polona ^{[3
,4
,5
]}

Sivic, Klemen ^{[4
,5
]}

机构：

[1] Univ Banja Luka, Fac Nat Sci & Math, Mladena Stojanovica 2, Banja Luka 78000, Bosnia & Herceg

[2] Univ Paris, IRIF, CNRS, INRIA, F-75013 Paris, France

[3] Univ Ljubljana, Fac Comp & Informat Sci, Vecna Pot 113, Ljubljana SI-1000, Slovenia

[4] Univ Ljubljana, Fac Math & Phys, Jadranska Ul 19, Ljubljana 1000, Slovenia

[5] Inst Math Phys & Mech, Jadranska Ul 19, Ljubljana 1000, Slovenia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2024年 / 690卷

基金：

欧盟地平线“2020”;

关键词：

Nilpotent matrix; Centralizer; Nilpotent orbit; COMMUTING PAIRS; VARIETIES; IRREDUCIBILITY;

D O I：

10.1016/j.laa.2024.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we characterize all nilpotent orbits under the action by conjugation that intersect the nilpotent centralizer of a nilpotent matrix B consisting of two Jordan blocks of the same size. We list all the possible Jordan canonical forms of the nilpotent matrices that commute with B by characterizing the corresponding partitions. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY -NC license (http:// creativecommons .org /licenses /by -nc /4 .0/).

引用

页码：59 / 90

页数：32

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