Real roots in the root system T_2,p,q

2021/01/08 by Karin Baur, Baur, Karin, Jian-Rong Li +3
Mathematics · #17B22 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2101.03119

openalex publication_date 2021/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by the recent advances in the categorification of the cluster structure on the coordinate rings of Grassmannians of k-subspaces in n-space, we investigate a particular construction of root systems of type T_2,p,q, including the type E_n. This construction generalizes Manin's ``hyperbolic construction'' of E₈ and reveals a lot of otherwise hidden regularities in this family of root systems.

Related

• Root systems and hyperkahler varieties
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• Classification of the root systems R(m)
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