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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Keywords: Crystal operator, Littlewood–Richardson coefficient, noncommutative symmetric function, symmetric function, Schur function.
@article{ALCO_2021__4_1_145_0, author = {Richmond, Edward and Tewari, Vasu}, title = {Noncommutative {LR} coefficients and crystal reflection operators}, journal = {Algebraic Combinatorics}, pages = {145--162}, publisher = {MathOA foundation}, volume = {4}, number = {1}, year = {2021}, doi = {10.5802/alco.155}, language = {en}, url = {http://www.numdam.org/articles/10.5802/alco.155/} }
TY - JOUR AU - Richmond, Edward AU - Tewari, Vasu TI - Noncommutative LR coefficients and crystal reflection operators JO - Algebraic Combinatorics PY - 2021 SP - 145 EP - 162 VL - 4 IS - 1 PB - MathOA foundation UR - http://www.numdam.org/articles/10.5802/alco.155/ DO - 10.5802/alco.155 LA - en ID - ALCO_2021__4_1_145_0 ER -
%0 Journal Article %A Richmond, Edward %A Tewari, Vasu %T Noncommutative LR coefficients and crystal reflection operators %J Algebraic Combinatorics %D 2021 %P 145-162 %V 4 %N 1 %I MathOA foundation %U http://www.numdam.org/articles/10.5802/alco.155/ %R 10.5802/alco.155 %G en %F ALCO_2021__4_1_145_0
Richmond, Edward; Tewari, Vasu. Noncommutative LR coefficients and crystal reflection operators. Algebraic Combinatorics, Volume 4 (2021) no. 1, pp. 145-162. doi : 10.5802/alco.155. http://www.numdam.org/articles/10.5802/alco.155/
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