Bicrossproduct construction versus Weyl-Heisenberg algebra
Mathematical Physics
2012-04-27 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1204.5842,
title = {Bicrossproduct construction versus Weyl-Heisenberg algebra},
author = {A. Borowiec and A. Pachoł},
journal= {arXiv preprint arXiv:1204.5842},
year = {2012}
}
Comments
11 pages, contribution to the proceedings of the 7th International Conference on Quantum Theory and Symmetries (QTS7), 7-13 August 2011, Prague, Czech Republic