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International Journal of Modern Physics A
Article . 2000 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2001
License: arXiv Non-Exclusive Distribution
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DIFFERENTIAL GEOMETRY OF THE q-PLANE

Differential geometry of the \(q\)-plane
Authors: Çelik, Salih; Çelik, Sultan;

DIFFERENTIAL GEOMETRY OF THE q-PLANE

Abstract

Hopf algebra structure on the differential algebra of the extended q-plane is defined. An algebra of forms which is obtained from the generators of the extended q-plane is introduced and its Hopf algebra structure is given.

Country
Turkey
Keywords

Mathematics - Differential Geometry, Noncommutative geometry (à la Connes), quantum plane, Quantum groups (quantized enveloping algebras) and related deformations, Hopf algebra, Hopf algebras (associative rings and algebras), Geometry of quantum groups, mathematical physics, 81R60, Differential Geometry (math.DG), Noncommutative geometry methods in quantum field theory, differential calculus, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 81R60; 57T05, noncommutative geometry, 57T05

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
Green
bronze