Identities for vacillating tableaux via growth diagrams

2023/04/15 by Christian Krattenthaler, Krattenthaler, Christian · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Primary 05A15 #Secondary 05A17 05A19 05E10

paper · pdf · doi:10.48550/arxiv.2304.07657

openalex publication_date 2023/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give bijective proofs using Fomin's growth diagrams for identities involving numbers of vacillating tableaux that arose in the representation theory of partition algebras or are inspired by such identities.

Cited by

• Partition algebras as monoid algebras

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