Séminaire Lotharingien de Combinatoire, 93B.133 (2025), 12 pp.
Jimmy He and Michael Wheeler
Symmetries of Periodic and Free Boundary q-Whittaker Measures
Abstract.
We show that the periodic and free boundary q-Whittaker measures, two models of random partitions, exhibit remarkable distributional symmetries. Equivalently, we derive new identities for skew q-Whittaker functions related to bounded Cauchy and Littlewood identities. These extend identities found by Imamura, Mucciconi, and Sasamoto, and in particular give new proofs of these identities.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
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