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Richard A. Brualdi
University of Wisconsin
USA



Published on 28 July 2021   DOI : 10.21494/ISTE.OP.2021.0695

Abstract

Résumé

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This is an exposition of my keynote talk given at The Third International Conference on Mathematics and Statistics: AUS-ICMS February 2020, Sharjah, UAE. It concerns permutations and permutation matrices, and some of their generalizations. It is not intended to be comprehensive in the topics discussed, but to highlight some aspects. The final section discusses a number of open problems and conjectures. A number of references are provided to get one started on a more comprehensive study.

This is an exposition of my keynote talk given at The Third International Conference on Mathematics and Statistics : AUS-ICMS February 2020, Sharjah, UAE. It concerns permutations and permutation matrices, and some of their generalizations. It is not intended to be comprehensive in the topics discussed, but to highlight some aspects. The final section discusses a number of open problems and conjectures. A number of references are provided to get one started on a more comprehensive study.

permutation permutation matrix alternating sign matrix Bruhat order polytope

permutation permutation matrix alternating sign matrix Bruhat order polytope