# Noncommutative LR coefficients and crystal reflection operators

## TL;DR

This paper explores the relationship between noncommutative and classical Littlewood-Richardson coefficients using crystal reflection operators and combinatorics of frank words.

## Contribution

It introduces a novel connection between noncommutative and classical LR coefficients through crystal reflection operators and frank words combinatorics.

## Key findings

- Established a link between noncommutative and classical LR coefficients.
- Utilized crystal reflection operators to relate these coefficients.
- Highlighted the role of frank words in the combinatorial framework.

## Abstract

We relate noncommutative Littlewood-Richardson coefficients of Bessenrodt-Luoto-van Willigenburg to classical Littlewood-Richardson coefficients via crystal reflection operators. A key role is played by the combinatorics of frank words.

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Source: https://tomesphere.com/paper/1905.10942