English

Generalized Hernandez-Leclerc modules and cluster algebras

Quantum Algebra 2023-12-07 v1 Representation Theory

Abstract

We introduce generalized Hernandez-Leclerc modules over Uq(sln+1^)U_q(\widehat{\mathfrak{sl}_{n+1}}) as a generalization of Hernandez-Leclerc modules of type A, and prove that they are real and prime via monoidal categorifications of cluster algebras.

Keywords

Cite

@article{arxiv.2312.03362,
  title  = {Generalized Hernandez-Leclerc modules and cluster algebras},
  author = {Jingmin Guo and Bing Duan and Yanfeng Luo},
  journal= {arXiv preprint arXiv:2312.03362},
  year   = {2023}
}
R2 v1 2026-06-28T13:42:36.809Z