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math.RT2026
Relations between categorifications of higher-dimensional type cluster combinatorics
Mikhail Gorsky, Nicholas J. Williams
We consider three categories arising from the higher Auslander algebras of type in relation to -dimensional cluster combinatorics: -exact subcategory of the module catego…
math.RT2026
A Categorification of Subword Complexes and Its Hall Algebra
Mikhail Gorsky, Zijun Li
Bergeron and Ceballos defined a Hopf algebra structure on equivalence classes of subword complexes. We introduce a category of subword complexes, endow it with a proto-exact-like s…