Isotropy quotients of Hopf algebroids and the fundamental groupoid of digraphs

DOI10.1016/j.jalgebra.2022.07.036OpenAlexW4293281359MaRDI QIDQ2675080

Aryan Ghobadi

Publication date: 20 September 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.07525

zbMATH Keywords

noncommutative geometryfundamental groupdirected graphsHopf algebroidgroupoidsbialgebroidbimodule connection

Mathematics Subject Classification ID

Geometry of quantum groups (58B32) Ideals in associative algebras (16D25) Directed graphs (digraphs), tournaments (05C20) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Hopf algebras, quantum groups and related topics (16T99)

Related Items (2)

Hopf monads: a survey with new examples and applications ⋮ Quantum Riemannian geometry of the discrete interval and q-deformation

Cites Work

• Noncommutative Riemannian geometry on graphs
• Noncommutative differential operators, Sobolev spaces and the centre of a category
• The cyclic theory of Hopf algebroids.
• Tannaka-Krein duality for Hopf algebroids
• On geometrically transitive Hopf algebroids
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Hopf algebroids with bijective antipodes: axioms, integrals, and duals.
• Equations différentielles à points singuliers réguliers
• Classes of Directed Graphs
• Fundamental groupoids of digraphs and graphs
• Quantum Riemannian Geometry
• Pivotal Objects in Monoidal Categories and Their Hopf Monads
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