Noncommutative Double Bruhat cells and their factorizations

2004/07/01 by Arkady Berenstein, Berenstein, Arkady, Vladimir Retakh +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #14A22 #FOS: Mathematics #Quantum Algebra (math.QA) #Quantum Mechanics and Applications #Random Matrices and Applications #Representation Theory (math.RT) #graph theory and CDMA systems #math.QA #math.RT #msc:14A22

paper · pdf · doi:10.48550/arxiv.math/0407010

few corrections, some results added

openalex publication_date 2004/07/01 · arxiv created 2004/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we study noncommutative double Bruhat cells. Our main results are explicit positive matrix factorizations in the cells via quasiminors of matrices with noncommutative coefficents.

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• Quantisation ideals, canonical parametrisations of the unipotent group and consistent integrable systems

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