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math.QA2022
An algorithm for Berenstein-Kazhdan decoration functions and trails for classical Lie algebras
Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima
For a simply connected connected simple algebraic group , it is known that a variety has a geometric crystal structure with a positive stru…
math.CO2022
On Manin-Schechtman orders related to directed graphs
Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy
As a generalization of weak Bruhat orders on permutations, in 1989 Manin and Schechtman introduced the notion of a higher Bruhat order on the -element subsets of a set $[n]=\{1,…