The contraction of SUμ(2) and its differential structures to Eκ(2)
P. Kosiński, P. Maślanka
Abstract
The deformed double covering of E(2) group, denoted by Eκ(2), is obtained by contraction from the SUμ(2). The contraction procedure is then used for producing a new examples of differential calculi: 3D-left covariant calculus on both Eκ(2) and the deformed Euclidean group Eκ(2) and two different 4D-bicovariant calculi on Eκ(2) which correspond to the one 4D-bicovariant calculi on Eκ(2) described in Ref.b14.
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