In the paper of Ostrik, he introduced a canonical basis of $K^{G\times {\mathbb C}^*}(\mathcal N)$, where $\mathcal N$ is the nilpotent cone for the group $G$. Question: does this canonical basis coincide with the basis formed by irreducible $G\times {\mathbb C}^*$-equivariant perverse coherent sheaves on the nilpotent cone, which are described, for example, in Theorem 1.4 in the paper by Achar?
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