Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/258
Title: Derivatives, forms and vector fields on the κ-deformed Euclidean space
Authors: Dimitrijević-Ćirić, Marija 
Möller, Lutz
Tsouchnika, Efrossini
Issue Date: 15-Oct-2004
Journal: Journal of Physics A: Mathematical and General
Abstract: 
The model of κ-deformed space is an interesting example of a noncommutative space, since it allows a deformed symmetry. In this paper, we present new results concerning different sets of derivatives on the coordinate algebra of κ-deformed Euclidean space. We introduce a differential calculus with two interesting sets of one-forms and higher-order forms. The transformation law of vector fields is constructed in accordance with the transformation behaviour of derivatives. The crucial property of the different derivatives, forms and vector fields is that in an n-dimensional spacetime there are always n of them. This is the key difference with respect to conventional approaches, in which the differential calculus is (n + 1)-dimensional. This work shows that derivative-valued quantities such as derivative-valued vector fields appear in a generic way on noncommutative spaces.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/258
ISSN: 0305-4470
DOI: 10.1088/0305-4470/37/41/010
Appears in Collections:Journal Article

Show full item record

SCOPUSTM   
Citations

42
checked on Nov 16, 2024

Page view(s)

17
checked on Nov 21, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.