2021/08/17 by Aryan Ghobadi, Ghobadi, Aryan · 2 citations
Mathematics · #05C20 #16D25 #58B32 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary 16T99 #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #Secondary 20L05
paper · pdf · doi:10.48550/arxiv.2108.07525
openalex publication_date 2021/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We build on our construction of Hopf algebroids from noncommutative calculi under the further assumption of surjectivity for the calculus. We also introduce the notions of Hopf ideals and isotopy quotients for arbitrary Hopf algebroids. Using these ingredients, we prove a Riemann-Hilbert correspondence for digraphs, by showing that the groupoid algebra of the fundamental groupoid of a digraph is isomorphic to the isotopy quotient of the Hopf algberoid corresponding to flat connections over the digraph.