3 papers
math.CO2024
Geometry of -vectors and -Matrices for Mutation-Infinite Quivers
Tucker J. Ervin, Blake Jackson, Kyungyong Lee +1
The set of forks is a class of quivers introduced by M. Warkentin, where every connected mutation-infinite quiver is mutation equivalent to infinitely many forks. Let be a fork…
math.CO2024
An unexpected property of -vectors for rank 3 mutation-cyclic quivers
Jihyun Lee, Kyungyong Lee
Let be a rank 3 mutation-cyclic quiver. It is known that every -vector of is a solution to a quadratic equation of the form $$\sum_{i=1}^3 x_i^2 + \sum_{1\leq i…
math.RT2024
An explicit description for quiver Grassmannians of the Kronecker quiver
Ulysses Alvarez, Kyungyong Lee
It is an open problem to find cell decompositions of quiver Grassmannians associated to each cluster variable. We initiate a new approach to this problem by giving an explicit desc…