Atoms and charge in type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math>
We construct atomic decompositions for crystals of type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> and use them to define a charge statistic, thus providing positive combinatorial formulas for the corresponding Kostka–Foulkes polynomials. Our methods include Kashiwara–Nakashima tableaux combinatorics as well as the combinatorics of string polytopes and twisted Bruhat graphs.
Authors
- Leonardo Patimo (ORCID: https://orcid.org/0000-0002-1841-2025)
- Jacinta Torres (ORCID: https://orcid.org/0000-0002-8238-7223)
Publication Details
- Journal
- Algebraic Combinatorics
- Published
- 2025-04-24
- DOI
- https://doi.org/10.5802/alco.411
- Citations
- 1
- Primary Topic
- Molecular spectroscopy and chirality
- Type
- article
- Field-Weighted Citation Impact
- 0.76