We study deformations of invertible bimodules and the behavior of Picard groups under deformation quantization. While K0-groups are known to be stable under formal deformations of algebras, Picard groups may change drastically. We identify the semiclassical limit of bimodule deformations as contravariant connections and study the associated deformation quantization problem. Our main focus is on...

We consider Jordanian deformations of the AdS5×S 5 superstring action. These deformations correspond to non-standard q-deformations. In particular, it is possible to perform a partial deformation, for example, of the AdS5 part only, or of the S 5 part only. Then the classical action and the Lax pair are constructed with a linear, twisted and extended R operator. It is shown that the action pres...

In the present paper we construct deformations of the Poincaré algebra as representations on a noncommutative spacetime with canonical commutation relations. These deformations are obtained by solving a set of conditions by an appropriate ansatz for the deformed Lorentz generator. They turn out to be Hopf algebras of quantum universal enveloping algebra type with nontrivial antipodes. In order ...

We consider the simplest class of Lie-algebraic deformations of spacetime algebra, with the selection of κ-deformations as providing quantum deformation of relativistic framework. We recall that the κ-deformation along any direction in Minkowski space can be obtained. Some problems of the formalism of κ-deformations will be considered. We shall comment on the conformal extension of light-like κ...

ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMATIONS OF MATERIALS WITH ELASTIC RANGE by David R. Owen In this note precise definitions of the concepts of permanent deformation, annealed state, and non-softening material are used to establish non-uniqueness of elastic rotations for deformations of certain materials with elastic range. ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMA...

Shear stresses are always present during quasi-static strain imaging, since tissue slippage occurs along the lateral and elevational directions during an axial deformation. Shear stress components along the axial deformation axes add to the axial deformation while perpendicular components introduce both lateral and elevational rigid motion and deformation artifacts into the estimated axial and ...