Gaetano Fiore

activity

20002023

most citedGeometrical Tools for Quantum Euclidean Spaces

23 citations · 46 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.QA2004★ 21 cited

Quantum group covariant (anti)symmetrizers, epsilon-tensors, vielbein, Hodge map and Laplacian

Gaetano Fiore

GL_q(N)- and SO_q(N)-covariant deformations of the completely symmetric/antisymmetric projectors with an arbitrary number of indices are explicitly constructed as polynomials in th…

math.QA2000★ 1 cited

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 $R_{q}^{N}$ , the space which is covariant under the…

math.QA2000★ 1 cited

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 $R_{q}^{N}$ , for any $N \geq 3$ ; this space is covariant under the action of the…

math.QA2000★ 23 cited

Geometrical Tools for Quantum Euclidean Spaces

B. L. Cerchiai, G. Fiore, J. Madore

We apply one of the formalisms of noncommutative geometry to $R_{q}^{N}$ , the quantum space covariant under the quantum group $S O_{q} (N)$ . Over $R_{q}^{N}$ there are two $S O_{q} (N)$ -covariant…