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Separation of noncommutative differential calculus on quantum Minkowski space
Fabian Bachmaier, Christian Blohmann
Noncommutative differential calculus on quantum Minkowski space is not separated with respect to the standard generators, in the sense that partial derivatives of functions of a si…
Reconstruction of universal Drinfeld twists from representations
Christian Blohmann
Universal Drinfeld twists are inner automorphisms which relate the coproduct of a quantum enveloping algebra to the coproduct of the undeformed enveloping algebra. Even though they…
Perturbative Symmetries on Noncommutative Spaces
Christian Blohmann
Perturbative deformations of symmetry structures on noncommutative spaces are studied in view of noncommutative quantum field theories. The rigidity of enveloping algebras of semi-…
Realization of q-deformed spacetime as star product by a Drinfeld twist
Christian Blohmann
Covariance ties the noncommutative deformation of a space into a quantum space closely to the deformation of the symmetry into a quantum symmetry. Quantum deformations of envelopin…
Covariant Realization of Quantum Spaces as Star Products by Drinfeld Twists
Christian Blohmann
Covariance of a quantum space with respect to a quantum enveloping algebra ties the deformation of the multiplication of the space algebra to the deformation of the coproduct of th…
Spin in the q-Deformed Poincare Algebra
Christian Blohmann
We investigate spin as algebraic structure within the q-deformed Poincare algebra, proceeding in the same manner as in the undeformed case. The q-Pauli-Lubanski vector, the q-spin…