6533b85efe1ef96bd12bf4b3

RESEARCH PRODUCT

Multiple Noncommutative Tori and Hopf Algebras

Mario PaschkeMarkus DebertAndrzej Sitarz

subject

PhysicsPure mathematicsAlgebra and Number TheoryFOS: Physical sciencesTorusMathematics - Rings and AlgebrasMathematical Physics (math-ph)Hopf algebraNoncommutative geometry16W30 57T05Rings and Algebras (math.RA)Mathematics::Quantum AlgebraMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Mathematics::Symplectic GeometryQuantumMathematical Physics

description

We derive the Kac-Paljutkin finite-dimensional Hopf algebras as finite fibrations of the quantum double torus and generalize the construction for quantum multiple tori.

https://doi.org/10.1081/agb-120023954