11 citations · 51 across the 23 of their papers we have counts for
14 papers · 1 filter
Ramified Quivers with Potentials, Monodromy Characters, and Cluster Bases I
Jiarui Fei
We construct categorical models and cluster characters for skew-symmetrizable cluster algebras admitting good ramified realizations. Goodness is equivalent to nondegenerate realiza…
Symmetric Branching via Laurent Phenomenon Algebras
Jiarui Fei
We construct Laurent phenomenon structures on reductive branching algebras. For , , and the exceptional inclusions , $E_6\downa…
Cluster Algebras for Bosonic Plethysm
Yelin Fan, Jiarui Fei
Let be an algebraically closed field of characteristic zero, let and , and set \[ \mathcal R_{\ell,m}=\operatorname{Sym}(\operatorname{Sym}^2V\oti…
A Polyhedral Formula for Kronecker Coefficients via Cluster Algebras
Jiarui Fei, Chenxin Xue
Let \[ \Bbbk[\Bbbk^3\otimes\Bbbk^2\otimes\Bbbk^2]^{U_3\times U_2\times U_2}. \] We construct an ordinary cluster family with Markov principal part. At , the intersection of i…
On the Orthogonal Projections
Jiarui Fei
For any rigid presentation , we construct an orthogonal projection functor to left adjoint to the natural embedding. We establish a bijection between presen…
Crystal Structure of Upper Cluster Algebras
Jiarui Fei
We describe the upper seminormal crystal structure for the -supported -vectors for any quiver with potential with reachable frozen vertices, or equivalently for the tropical…