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The contraction of $SU_μ(2)$ and its differential structures to $E_κ(2)$

P. Kosiński·P. Maślanka
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Abstract

The deformed double covering of E(2) group, denoted by $\tilde{E}_κ(2)$, is obtained by contraction from the $SU_μ(2)$. The contraction procedure is then used for producing a new examples of differential calculi: 3D-left covariant calculus on both $\tilde{E}_κ(2)$ and the deformed Euclidean group $E_κ(2)$ and two different 4D-bicovariant calculi on $\tilde{E}_κ(2)$ which correspond to the one 4D-bicovariant calculi on $E_κ(2)$ described in Ref.\cite{b14}.

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BibTeXRIS

P. Kosiński, P. Maślanka. 1998-07-02. The contraction of $SU_μ(2)$ and its differential structures to $E_κ(2)$. https://arxiv.org/abs/math/9807005

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