Conjugacy classes of centralizers in the group of upper triangular matrices

DOI10.1142/S0219498820500085zbMath1480.20080arXiv1901.07869OpenAlexW2963010393WikidataQ114614763 ScholiaQ114614763MaRDI QIDQ5107141

Sushil Bhunia

Publication date: 23 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07869

zbMATH Keywords

conjugacy classesupper triangular matrices\(z\)-classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Canonical forms, reductions, classification (15A21)

Related Items (4)

Branching rules and commuting probabilities for Triangular and Unitriangular matrices ⋮ Finiteness of \(z\)-classes in reductive groups ⋮ \(z\)-classes in groups: a survey ⋮ Virtual classes of representation varieties of upper triangular matrices via topological quantum field theories

Cites Work

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• Belitskiĭ's canonical form for \(5\times 5\) upper triangular matrices under upper triangular similarity
• Conjugacy Classes of Centralizers in $G_2$
• The z-Classes of Isometries
• The z-classes of quaternionic hyperbolic isometries

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