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math.RT2025
Classical tilting and -tilting theory via duplicated algebras
Jonah Berggren, Khrystyna Serhiyenko
-tilting theory can be thought of as a generalization of the classical tilting theory which allows mutations at any indecomposable summand of a support -tilting pair. Indeed,…
math.RT2024
Boundary Algebras of Positroids
Jonah Berggren, Khrystyna Serhiyenko
A dimer model is a quiver with faces embedded into a disk. A consistent dimer model gives rise to a strand diagram, and hence to a positroid. The Gorenstein-projective module categ…