The Based Ring Of Two Sided Cells Of Affine Weyl Groups Of Type An B1s

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The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type An-B1s

Aims to prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde {A}_{n-1}$

In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.