}:=\operatorname{QCoh}\bigg((\bbT^{\vee}\times V_{\mathbf{\whT}})/W_0\bigg).$$  For $\gamma \in \bbT^{\vee}/W_0$, we also define $\operatorname{SP}^{\gamma}_{\mathbf{\whG}}:=\operatorname{QCoh}\bigg(( \coprod_{\lambda\in\gamma} V_{\mathbf{\whT}})/W_0 \