Differential geometry of group lattices

DOI10.1063/1.1540713zbMath1062.58009arXivmath-ph/0207014OpenAlexW1997084918WikidataQ115334036 ScholiaQ115334036MaRDI QIDQ4832978

Aristophanes Dimakis, Folkert Mueller-Hoissen

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0207014

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)

Related Items (3)

Difference discrete connection and curvature on cubic lattice ⋮ NONCOMMUTATIVE DE RHAM COHOMOLOGY OF FINITE GROUPS ⋮ Differential Calculi on Quantum Spaces Determined by Automorphisms

Cites Work

• The composition of graphs
• Noncommutative geometry and gauge theory on discrete groups
• Four-dimensional twisted group lattices
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Topological Charge of Lattice Abelian Gauge Theory
• THE SOLUTION OF THE d-DIMENSIONAL TWISTED GROUP LATTICES
• Non-commutative geometry of finite groups
• Integrable discretizations of chiral models via deformation of the differential calculus
• Discretized Yang–Mills and Born–Infeld Actions on Finite Group Geometries
• Dynamical evolution in non-commutative discrete phase space and the derivation of classical kinetic equations
• Discrete Riemannian geometry
• Discrete differential calculus: Graphs, topologies, and gauge theory
• Differential calculus and gauge theory on finite sets
• Discrete differential manifolds and dynamics on networks
• Exact solution of the Ising model on group lattices of genus g>1
• Gravity on finite groups
• Universal dynamics, a unified theory of complex systems. Emergence, life and death.
• Finitary spacetime sheaves of quantum causal sets: curving quantum causality
• Riemannian geometry of quantum groups and finite groups with nonuniversal differentials

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