36 citations · 202 across the 22 of their papers we have counts for
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math.RT2017★ 1 cited
Affine cluster monomials are generalized minors
Dylan Rupel, Salvatore Stella, Harold Williams
We study the realization of acyclic cluster algebras as coordinate rings of Coxeter double Bruhat cells in Kac-Moody groups. We prove that all cluster monomials with g-vector lying…
math.RA2017★ 4 cited
Some Consequences of Categorification
Dylan Rupel, Salvatore Stella
Several conjectures on acyclic skew-symmetrizable cluster algebras are proven as direct consequences of their categorification via valued quivers. These include conjectures of Fomi…
math.QA2017
Rank Two Non-Commutative Laurent Phenomenon and Pseudo-Positivity
Dylan Rupel
We study polynomial generalizations of the Kontsevich automorphisms acting on the skew-field of formal rational expressions in two non-commuting variables. Our main result is the L…