2 problems

Let $n=2r+1$, let $\boldsymbol{c}_{\lambda}^{\jmath}$ be the two-sided cell associated with a special partition $\lambda$ of $2d+1$ with at most $n$ parts, and consider semistandar…

Let $a,b$ be the parameters defining the relevant Kazhdan–Lusztig cells, let $r\geq 1$, and let signed permutations lie in $B_n$. Two signed permutations are $r$-cycle equivalent (…