A note on noncommutative and false noncommutative spaces.
Einstein-Riemann gravity on deformed spaces.
Emergent abelian gauge fields from noncommutative gravity.
Exotic galilean symmetry and non-commutative mechanics.
Field theory on curved noncommutative spacetimes.
Modular theory, non-commutative geometry and quantum gravity.
Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone
It is proved that the solution of the multiplicative Cauchy functional equation on the Lorentz cone of dimension greater than two is a power function of the determinant. The equation is solved in full generality, i.e. no smoothness assumptions on the unknown function are imposed. Also the functional equation of ratios, of a similar nature, is solved in full generality.
Quantum spacetime: a disambiguation.
The graded differential geometry of mixed symmetry tensors
We show how the theory of -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor fields on both flat and curved space-times are discussed.
The quantum spheres and their embedding into quantum Minkowski space-time.
-Minkowski spacetimes and DSR algebras: fresh look and old problems.