James Parkinson

activity

20142025

most citedLimit theorems for random walks on Fuchsian buildings and Kac-Moody groups

2 citations · 2 across the 3 of their papers we have counts for

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math.RT2024

The asymptotic Plancherel formula and Lusztig's asymptotic algebra for $A ~_{n}$

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 $A$ . To do so, we construct a balanced system of cell modules,…

math.RT2018

Balanced representations, the asymptotic Plancherel formula, and Lusztig's conjectures for $C ~_{2}$

J. Guilhot, J. Parkinson

We prove Lusztig's conjectures $P1$ - $P15$ for the affine Weyl group of type $C ~_{2}$ for all choices of positive weight function. Our approach to computing Lusztig…

The asymptotic Plancherel formula and Lusztig's asymptotic algebra for A~n​

Balanced representations, the asymptotic Plancherel formula, and Lusztig's conjectures for C~2​

The asymptotic Plancherel formula and Lusztig's asymptotic algebra for $A ~_{n}$

Balanced representations, the asymptotic Plancherel formula, and Lusztig's conjectures for $C ~_{2}$