2017/10/22 by Eric Chen, Chen, Eric
Chemistry · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1710.07893
openalex publication_date 2017/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is an REU paper written for the University of Chicago REU, summer 2017. The main purpose of this note is to collect some of the many combinatorial models for MV cycles that exist in the literature. In particular, we will investigate MV polytopes, preprojective algebras, crystals, and LS galleries. We also compute explicitly some examples to help elucidate the theory and the connections between these models.