A super-class walk on upper-triangular matrices

Ery Arias-Castro; Persi Diaconis; Richard Stanley

doi:10.1016/j.jalgebra.2004.04.005

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A super-class walk on upper-triangular matrices

Journal article

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Peer reviewed

A super-class walk on upper-triangular matrices

Ery Arias-Castro, Persi Diaconis and Richard Stanley

Journal of algebra, Vol.278(2), pp.739-765

2004

DOI: https://doi.org/10.1016/j.jalgebra.2004.04.005

Abstract

Let G be the group of n× n upper-triangular matrices with elements in a finite field and ones on the diagonal. This paper applies the character theory of Andre, Carter, and Yan to analyze a natural random walk based on adding or subtracting a random row from the row above.

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Collaboration types: Domestic collaboration
Citation topics: 9 Mathematics; 9.28 Pure Maths; 9.28.675 Finite Groups
Web Of Science research areas: Mathematics
ESI research areas: Mathematics

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Details

Title: A super-class walk on upper-triangular matrices
Creators: Ery Arias-Castro - Department of Statistics, Stanford University, Stanford, CA, USA
Persi Diaconis - Departments of Mathematics and Statistics, Stanford University, Stanford, CA, USA
Richard Stanley - Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA
Publication Details: Journal of algebra, Vol.278(2), pp.739-765
Publisher: Elsevier Inc
Academic Unit: College of A&S; A&S - Mathematics
Language: English
Resource Type: Journal article
Record Identifier: 991031620057202976