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

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
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article

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>

Leonardo Patimo, Jacinta Torres
1 citations
Algebraic Combinatorics
Molecular spectroscopy and chirality
0.76
article

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>

Leonardo Patimo, Jacinta Torres
article en
1 citations

Abstract

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.

Algebraic CombinatoricsVol. 8(2)
Openalex Percentile: Top 32%
Molecular spectroscopy and chirality
0.76
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