(A class of) Hodge duality operators over the quantum SU(2)

Abstract

On the exterior algebra over the quantum SU(2) coming from the four dimensional bicovariant calculus à la Woronowicz we introduce, using sesquilinear contraction maps, a class of metrics and Hodge duality operators, and compare this formulation with the previous ones presented in the literature.

v2, 2 references added. 18 pages

References in corpus (2)

• The 3D Spin Geometry of the Quantum Two-Sphere
• Calculi, Hodge operators and Laplacians on a quantum Hopf fibration

Cited by in corpus (2)

• Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces
• Warped Products and Yang-Mills equations on non commutative spaces