48 citations · 482 across the 38 of their papers we have counts for
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Frame formalism for the N-dimensional quantum Euclidean spaces
B. L. Cerchiai, G. Fiore, J. Madore
We sketch our recent application of a non-commutative version of the Cartan `moving-frame' formalism to the quantum Euclidean space , the space which is covariant under the…
Structure of the Three-dimensional Quantum Euclidean Space
B. L. Cerchiai, J. Madore, S. Schraml +1
As an example of a noncommutative space we discuss the quantum 3-dimensional Euclidean space together with its symmetry structure in great detail. The algebraic structure a…
Geometrical techniques for the N-dimensional Quantum Euclidean Spaces
B. L. Cerchiai, G. Fiore, J. Madore
We briefly report our application of a version of noncommutative geometry to the quantum Euclidean space , for any ; this space is covariant under the action of the…
Geometrical Tools for Quantum Euclidean Spaces
B. L. Cerchiai, G. Fiore, J. Madore
We apply one of the formalisms of noncommutative geometry to , the quantum space covariant under the quantum group . Over there are two -covariant…
A Calculus Based on a q-deformed Heisenberg Algebra
B. L. Cerchiai, R. Hinterding, J. Madore +1
We show how one can construct a differential calculus over an algebra where position variables x and momentum variables p have be defined. As the simplest example we consider the o…
The Geometry of a -Deformed Phase Space
B. L. Cerchiai, R. Hinterding, J. Madore +1
The geometry of the -deformed line is studied. A real differential calculus is introduced and the associated algebra of forms represented on a Hilbert space. It is found that th…