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math.RT2024
Verlinde rings and cluster algebras arising from quantum affine algebras
Chul-hee Lee, Jian-Rong Li, Euiyong Park
We formulate a positivity conjecture relating the Verlinde ring associated with an untwisted affine Lie algebra at a positive integer level and a subcategory of finite-dimensional…
math.RT2023
Spectrum of the Laplacian on the Fricke-Macbeath surface
Chul-hee Lee
The Fricke-Macbeath surface is the unique Hurwitz surface of genus 7 with 504 conformal automorphisms. In this paper, we prove that the first eigenvalue of the Laplacian on the Fri…