We provide simple necessary and sufficient conditions for the existence of a standard Young tableau of a given shape and major index
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DOI : 10.5802/alco.4
Mots-clés : Standard Young tableaux, symmetric group characters, major index, hook length formula, rectangular partitions
@article{ALCO_2018__1_1_3_0, author = {Swanson, Joshua P.}, title = {On the existence of tableaux with given modular major index}, journal = {Algebraic Combinatorics}, pages = {3--21}, publisher = {MathOA foundation}, volume = {1}, number = {1}, year = {2018}, doi = {10.5802/alco.4}, zbl = {06882332}, mrnumber = {3857157}, language = {en}, url = {http://www.numdam.org/articles/10.5802/alco.4/} }
Swanson, Joshua P. On the existence of tableaux with given modular major index. Algebraic Combinatorics, Tome 1 (2018) no. 1, pp. 3-21. doi : 10.5802/alco.4. http://www.numdam.org/articles/10.5802/alco.4/
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