Atoms and charge in type C₂

2023/03/27 by Leonardo Patimo, Patimo, Leonardo, Jacinta Torres +1 · 1 citation
Mathematics · #05E10 #14L99 #20G05 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2303.15560

openalex publication_date 2023/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct atomic decompositions for crystals of type C₂ and define a charge statistic on them, thus providing positive combinatorial formulas for Kostka-Foulkes polynomials associated to them together with a natural geometric interpretation.

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• Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions

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