The asymptotic Plancherel formula and Lusztig's asymptotic algebra for ${\tilde{\mathsf{A}}}_n$

Nathan Chapelier-Laget, Jérémie Guilhot, Eloise Little +1

The aim of this paper is to give a new explicit construction of Lusztig's asymptotic algebra in affine type $\mathsf{A}$. To do so, we construct a balanced system of cell modules,…