Bicrossproduct construction versus Weyl-Heisenberg algebra

Abstract

We are focused on detailed analysis of the Weyl-Heisenberg algebra in the framework of bicrossproduct construction. We argue that however it is not possible to introduce full bialgebra structure in this case, it is possible to introduce non-counital bialgebra counterpart of this construction. Some remarks concerning bicrossproduct basis for kappa-Poincare Hopf algebra are also presented.

arXiv comment11 pages, contribution to the proceedings of the 7th International Conference on Quantum Theory and Symmetries (QTS7), 7-13 August 2011, Prague, Czech Republic

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