The Aizenbud-Lapid binary operation for symmetrizable Cartan types

2023/11/28 by Markus Kleinau, Kleinau, Markus
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Arithmetic #Binary number #Cartan matrix #Combinatorics #Epistemology #Graph #Homotopy and Cohomology in Algebraic Topology #Materials science #Mathematics #Matrix (chemical analysis) #Philosophy #Property (philosophy) #Pure mathematics

paper · pdf · doi:10.48550/arxiv.2311.17036

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2023/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Aizenbud and Lapid recently introduced a binary operation on the crystal graph B(-∞) associated to a symmetric Cartan matrix. We extend their construction to symmetrizable Cartan matrices.

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