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 $\hat{I}»,\hat{I}¼,\hat{I}½$ with at most $n$ parts, the refined Littlewood--Richardson (LR) coefficients $c^{\hat{I}}{½}_{\hat{I}»,\hat{I}¼}(w)$ in typ…