Séminaire Lotharingien de Combinatoire, 91B.38 (2024), 12 pp.
Olga Azenhas, Thomas Gobet and Cédric Lecouvey
Non-Symmetric Cauchy Kernels, Demazure Measures, and LPP
Abstract.
We use non-symmetric Cauchy kernel identities to get the laws of last passage
percolation (LPP) models in terms of Demazure characters. The construction is based
on the restrictions of the RSK correspondence to augmented stair (Young) shape matrices and rephrased in a unified way compatible with crystal bases.
Received: November 15, 2023.
Accepted: February 15, 2024.
Final version: April 1, 2024.
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