24 citations · 69 across the 20 of their papers we have counts for
4 papers · 1 filter
Cluster algebras in Lie and Knot theory
Mikhail Gorsky, José Simental
This is a survey article on some connections between cluster algebras and link invariants, written for the Notices of the AMS.
Extriangulated ideal quotients, with applications to cluster theory and gentle algebras
Xin Fang, Mikhail Gorsky, Yann Palu +2
We extend results of Brüstle-Yang on ideal quotients of 2-term subcategories of perfect derived categories of non-positive dg algebras to a relative setting. We find a new interpre…
Hereditary extriangulated categories: Silting objects, mutation, negative extensions
Mikhail Gorsky, Hiroyuki Nakaoka, Yann Palu
In this article, we initiate the study of hereditary extriangulated categories. Many important categories arising in representation theory in connection with various theories of mu…
A structural view of maximal green sequences
Mikhail Gorsky, Nicholas J. Williams
We study the structure of the set of all maximal green sequences of a finite-dimensional algebra. There is a natural equivalence relation on this set, which we show can be interpre…