Title: Parameters for Generalized Hecke Algebras in Type B,
Abstract: The irreducible representations of full support in the rational Cherednik
category $\mathcal{O}_c(W)$ attached to a Coxeter group $W$ are in bijection
with the irreducible representations of an associated Iwahori-Hecke algebra.
Recent work has shown that the irreducible representations in
$\mathcal{O}_c(W)$ of arbitrary given support are similarly governed by certain
generalized Hecke algebras. In this paper we compute the parameters for these
generalized Hecke algebras in the remaining previously unknown cases,
corresponding to the parabolic subgroup $B_n \times S_k$ in $B_{n+k}$ for $k
\geq 2$ and $n \geq 0$.