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arxiv: 1905.10942 · v1 · pith:ZMNQ7AQ5new · submitted 2019-05-27 · 🧮 math.CO

Noncommutative LR coefficients and crystal reflection operators

classification 🧮 math.CO
keywords coefficientscrystallittlewood-richardsonnoncommutativeoperatorsreflectionbessenrodt-luoto-vanclassical
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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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