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math.CO2022
Non symmetric Cauchy kernel, crystals and last passage percolation
Olga Azenhas, Thomas Gobet, Cédric Lecouvey
We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the…
math.RT2022★ 1 cited
Symplectic cacti, virtualization and Berenstein-Kirillov groups
Olga Azenhas, Mojdeh Tarighat Feller, Jacinta Torres
We explicitly realize an internal action of the symplectic cactus group, recently defined by Halacheva for any complex, reductive, finite-dimensional Lie algebra, on crystals of Ka…