Finite presentations for stated skein algebras and lattice gauge field theory
Julien Korinman
Abstract
We provide finite presentations for stated skein algebras and deduce that those algebras are Koszul and that they are isomorphic to the quantum moduli algebras appearing in lattice gauge field theory, generalizing previous results of Bullock, Frohman, Kania-Bartoszynska and Faitg.
Topics & Concepts
SkeinMathematicsLattice (music)Pure mathematicsAlgebra over a fieldGauge theoryTheoretical physicsMathematical physicsPhysicsAcousticsAlgebraic structures and combinatorial modelsAdvanced Operator Algebra ResearchQuantum many-body systems