Séminaire Lotharingien de Combinatoire, 85B.36 (2021), 12 pp.

Eric Nathan Stucky, Marko Thiel and Nathan Williams

Strange Expectations in Affine Weyl Groups

Abstract. We previously generalized P. Johnson's proof of D. Armstrong's conjecture for the expected number of boxes in a simultaneous core to simply-laced type. After recalling combinatorial core-like models for coroot lattices in the classical types, our main result is a generalization of this theorem to all affine Weyl groups.

Received: December 1, 2020. Accepted: March 1, 2021. Final version: April 29, 2021.

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