Differential structures on Eκ(2) from contraction

Physics

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Theory Of Quantized Fields, Field Theory, Algebraic Methods

Scientific paper

The deformed double covering of E(2) group, denoted by E~κ(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 E~κ(2) and the deformed Euclidean group Eκ(2) and two different 4D-bicovariant calculi on E~κ(2) which correspond to the one 4D-bicovariant calculi on Eκ(2) described in Ref. [7].

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