Twisting adjoint module algebras

Abstract

Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on non-commutative space-time are considered.

16 pages

References in corpus (3)

• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• Twisted Gauge Theories
• Twist Symmetry and Gauge Invariance

Cited by in corpus (5)

• Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms
• Observables and Dispersion Relations in k-Minkowski Spacetime
• Twisting all the way: from algebras to morphisms and connections
• Noncommutative connections on bimodules and Drinfeld twist deformation
• Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish