A q-multinomial expansion of LLT coefficients and plethysm multiplicities

2011/04/26 by Kazuto Iijima, Iijima, Kazuto · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1104.4870

openalex publication_date 2011/04/26 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

Lascoux, Leclerc and Thibon\citeLLT introduced a family of symmetric polynomials, called LLT polynomials. We prove a q-multinomial expansion of the coefficients of LLT polynomials in the case where \boldsymbolμ = \underbrace(μ,...,μ)_n and define a q-analog of a sum of the plethysm multiplicities.

Cited by

• Kirillov-Reshetikhin Dual Equivalence Graphs

Related

• Combinatorial Interpretations of the q-Faulhaber and q-Salie Coefficients
• Flagged LLT polynomials, nonsymmetric plethysm, and nonsymmetric Macdonald polynomials
• A geometric and generating function approach to plethysm
• Elementary Polynomial Identities Involving q-Trinomial Coefficients
• LLT polynomials, elementary symmetric functions and melting lollipops