Limit Jordan normal form of large triangular matrices over a finite field
type: Item
instance of: scholarly article
title: Limit Jordan normal form of large triangular matrices over a finite field
zbMATH Open document ID: 0860.15009
DOI: 10.1007/BF01077476
author: Alexei Borodin
publication date: 1996-09-03T00:00:00Z
review text: For any upper triangular matrix \(X\) over the finite field \(\mathbb{F}_q\), which contains \(q\) elements \((X= (x_{ij}) \in\text{Mat}_n(\mathbb{F}_q)\) and \(x_{ij} = 0\), \(i\geq j)\), the author defines the type of \(X\) as the partition \(l= \{l_1\geq \cdots\geq l_r\}\) of \(n\) such that the orders of the Jordan blocks of \(X\) are equal to \(l_1\geq \cdots\geq l_r\). The paper is devoted to the study of the distribution of the above matrices with respect to the type as \(n\to\infty\).
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 923591
zbMATH Keywords: limit Jordan normal form
zbMATH Keywords: large triangular matrices
zbMATH Keywords: finite field
reviewed by: Rodica Covaci
MaRDI profile type: Publication
cites work: Q4858467
cites work: Asymptotic theory of characters of the symmetric group
full work available at URL: https://doi.org/10.1007/bf01077476
OpenAlex ID: W1985694123
published in: Functional Analysis and Its Applications
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description: scientific article; zbMATH DE number 923591