J. Fei

activity

20092026

most citedGeneral Presentations of Algebras

11 citations · 51 across the 23 of their papers we have counts for

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Showing 2026 · math.RTShow all

4 papers · 2 filters

math.RT2026

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…

math.RT2026

Symmetric Branching via Laurent Phenomenon Algebras

Jiarui Fei

We construct Laurent phenomenon structures on reductive branching algebras. For $A_{2 n - 1} ↓ C_{n}$ , $n \geq 2$ , and the exceptional inclusions $D_{4} ↓ G_{2}$ , $E_6\downa…

math.RT2026

Cluster Algebras for Bosonic Plethysm

Yelin Fan, Jiarui Fei

Let $k$ be an algebraically closed field of characteristic zero, let $V = k^{ℓ}$ and $W = k^{m}$ , and set \[ \mathcal R_{\ell,m}=\operatorname{Sym}(\operatorname{Sym}^2V\oti…

math.RT2026

A Polyhedral Formula for $n \times 2 \times 2$ 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 $ζ = - 1$ , the intersection of i…

Ramified Quivers with Potentials, Monodromy Characters, and Cluster Bases I

Symmetric Branching via Laurent Phenomenon Algebras

Cluster Algebras for Bosonic Plethysm

A Polyhedral Formula for n×2×2 Kronecker Coefficients via Cluster Algebras

A Polyhedral Formula for $n \times 2 \times 2$ Kronecker Coefficients via Cluster Algebras