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arXiv · 1104.4870

A $q$-multinomial expansion of LLT coefficients and plethysm multiplicities

Kazuto Iijima
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Abstract

Lascoux, Leclerc and Thibon\cite{LLT} 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 $ \boldsymbol{\mu} = \underbrace{(\mu,...,\mu)}_{n}$ and define a $q$-analog of a sum of the plethysm multiplicities.

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Kazuto Iijima. 2011-04-26. A $q$-multinomial expansion of LLT coefficients and plethysm multiplicities. https://arxiv.org/abs/1104.4870

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