Jordan types for pairs of commuting nilpotent matrices: A survey

Fuente: arXiv
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Autor principal: Košir, Tomaž
Formato: Preprint
Publicado: 2026
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author Košir, Tomaž
author_facet Košir, Tomaž
contents The aim of the paper is to survey results on Jordan types for pairs of nilpotent commuting matrices. We also review recent proof of the Box Conjecture on Jordan types that have equal dense orbit in the nilpotent commutator.
format Preprint
id arxiv_https___arxiv_org_abs_2606_02026
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Jordan types for pairs of commuting nilpotent matrices: A survey
Košir, Tomaž
Commutative Algebra
Algebraic Geometry
Combinatorics
15A27, 05A17, 15A21, 13E10, 14A10
The aim of the paper is to survey results on Jordan types for pairs of nilpotent commuting matrices. We also review recent proof of the Box Conjecture on Jordan types that have equal dense orbit in the nilpotent commutator.
title Jordan types for pairs of commuting nilpotent matrices: A survey
topic Commutative Algebra
Algebraic Geometry
Combinatorics
15A27, 05A17, 15A21, 13E10, 14A10
url https://arxiv.org/abs/2606.02026