Contractions, Deformations and Curvature
نویسندگان
چکیده
منابع مشابه
Curvature from quantum deformations
A Poisson coalgebra analogue of a (non-standard) quantum deformation of sl(2) is shown to generate an integrable geodesic dynamics on certain 2D spaces of nonconstant curvature. Such a curvature depends on the quantum deformation parameter z and the flat case is recovered in the limit z → 0. A superintegrable geodesic dynamics can also be defined in the same framework, and the corresponding spa...
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In this contributed presentation, we discuss and compare the mutually opposite procedures of deformations and contractions of Lie algebras. We suggest that with appropriate combinations of both procedures one may construct new Lie algebras. We first discuss low-dimensional Lie algebras and illustrate thereby that whereas for every contraction there exists a reverse deformation, the converse is ...
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ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2007
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-007-9489-9