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October 8, 2025Open Access

Shuffle Tableaux, Littlewood--Richardson Coefficients, and Schur Log-Concavity

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Authors

CNChau NguyenVietnam National University Ho Chi Minh CityNSNguyễn Thái SơnDenison UniversityDWDora WoodruffMoscow Institute of Thermal Technology

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Implication

This paper presents a formula connecting littlewood-richardson coefficients and shuffle tableaux, indicating a new method for calculating generalized coefficients.

Key Points

  • A new formula for littlewood-richardson coefficients simplifies calculations in combinatorial contexts, particularly for temperley-lieb immanants.
  • The formula draws connections to peelable tableaux and follows the framework of the remmel-whitney rule, enhancing computability.
  • Bender-knuth involutions are also linked, revealing deeper symmetry characteristics in littlewood-richardson coefficients that may assist future research.
  • Applications of this work include proving cases of the schur log-concavity conjecture, which broadens the implications of these findings.

Cite This Study

Nguyen et al. (2025) studied this question.

synapsesocial.com/papers/68e6d7971ffa7aa7d63d16dbhttps://doi.org/10.48550/arxiv.2506.00349
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