Quasi-Commuting Families of Quantum Minors

2000/08/14 by Joshua S. Scott, Scott, Joshua S.
Mathematics · #17B37 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0008100

Latex; 18 pages, 4 figures

arxiv created 2000/08/14 · openalex publication_date 2000/08/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We produce neccessary and sufficient conditions for pairs of quantum minors in the quantized coordinate algebra ℂ_q[Mat_{k × m}] to quasi-commute. In addition we study the combinatorics of maximal (by inclusion) families of pairwise quasi-commuting quantum minors.

Related

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• Basic quadratic identities on quantum minors