Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
36 (1995), S. 6879-6896
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The deformations of the Galilei algebra and their associated noncommutative Newtonian space–times are investigated. This is done by analyzing the possible nonrelativistic limits of an eleven generator (pseudo)extended κ-Poincaré algebra P˜κ and their implications for the existence of a first-order differential calculus. The additional one-form needed to achieve a consistent calculus on κ-Minkowski space is shown to be related to the additional central generator entering in the P˜κ Hopf algebra. In the process, deformations of the extended Galilei and Galilei algebras are introduced which have, respectively, a cocycle and a bicrossproduct structure. © 1995 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.531196
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