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arXiv · 1004.4647

Differential structure on kappa-Minkowski space, and kappa-Poincare algebra

Stjepan Meljanac·Sasa Kresic-Juric
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Abstract

We construct realizations of the generators of the $\kappa$-Minkowski space and $\kappa$-Poincar\'{e} algebra as formal power series in the $h$-adic extension of the Weyl algebra. The Hopf algebra structure of the $\kappa$-Poincar\'{e} algebra related to different realizations is given. We construct realizations of the exterior derivative and one-forms, and define a differential calculus on $\kappa$-Minkowski space which is compatible with the action of the Lorentz algebra. In contrast to the conventional bicovariant calculus, the space of one-forms has the same dimension as the $\kappa$-Minkowski space.

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Stjepan Meljanac, Sasa Kresic-Juric. 2010-04-26. Differential structure on kappa-Minkowski space, and kappa-Poincare algebra. https://doi.org/10.1142/s0217751x11053948

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