2 papers
math.CO2026
MacNeille completions of parabolic quotients
Yibo Gao, Hanlin Xu
Alternating sign matrices (ASMs) arise as the Dedekind-MacNeille completion of the Bruhat order on the symmetric group. They enjoy fruitful combinatorial and geometric properties,…
math.RT2024
Tame quivers and affine bases II: nonsimply-laced cases
Jie Xiao, Han Xu
In [Tame_quivers_and_affine_bases_I], we give a Ringel-Hall algebra approach to the canonical bases in the symmetric affine cases. In this paper, we extend the results to general s…