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Hopf-algebra description of noncommutative-spacetime symmetries

Alessandra Agostini
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Abstract

I give a brief summary of the results reported in hep-th 0306013 in collaboration with G. Amelino-Camelia and F. D'Andrea. I focus on the analysis of the symmetries of $κ$-Minkowski noncommutative space-time, described in terms of a Weyl map. The commutative space-time notion of Lie-algebra symmetries must be replaced by the one of Hopf-algebra symmetries. However, in the Hopf algebra sense, it is possible to construct an action in $κ$-Minkowski which is invariant under a 10-generators Poincaré-like symmetry algebra.

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Alessandra Agostini. 2003-09-01. Hopf-algebra description of noncommutative-spacetime symmetries. https://doi.org/10.1023/b%3Acjop.0000010518.07542.61

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