A bijective proof of the hook-length formula for standard immaculate tableaux

Alice L. L. Gao, Arthur L. B. Yang
2015 Proceedings of the American Mathematical Society  
In this paper, we present a direct bijective proof of the hook-length formula for standard immaculate tableaux, which arose in the study of non-commutative symmetric functions. Our proof is along the spirit of Novelli, Pak and Stoyanovskii's combinatorial proof of the hook-length formula for standard Young tableaux.
doi:10.1090/proc/12899 fatcat:2zyh3dafd5hgtfyoqr7konyr7y