A second reduction-type formula for the refined Littlewood--Richardson coefficients in type A

Siddheswar Kundu

For a permutation $w$ in the symmetric group $S_n$ and partitions $\lambda ,\mu ,\nu$ with at most $n$ parts, the refined Littlewood--Richardson (LR) coefficients $c_{\lambda ,\mu }^{\nu }(w)$ in type $A_n…