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Reductions of Young tableau bijections

2004/08/12 by Igor Pak, Pak, Igor, Ernesto Vallejo +1
Mathematics · #05E05 (Secondary) #05E10 (Primary) #20C30 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:05E05 #msc:05E10 #msc:20C30

paper · pdf · doi:10.48550/arxiv.math/0408171

42 pages, 15 figures

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

Abstract

We introduce notions of linear reduction and linear equivalence of bijections for the purposes of study bijections between Young tableaux. Originating in Theoretical Computer Science, these notions allow us to give a unified view of a number of classical bijections, and establish formal connections between them.

Citations

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