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math.RT2023
Calibrated representations of the double Dyck path algebra
Nicolle González, Eugene Gorsky, José Simental
The double Dyck path algebra and its polynomial representation first arose as a key figure in the proof of the celebrated Shuffle Theorem of Carlsson and Mellit.…
math.RT2023
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.