The quantum Cartan algebra associated to a bicovariant differential calculus
Quantum Algebra
2015-05-18 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We associate to any (suitable) bicovariant differential calculus on a quantum group a Cartan Hopf algebra which has a left, respectively right, representation in terms of left, respectively right, Cartan calculus operators. The example of the Hopf algebra associated to the differential calculus on is described.
Keywords
Cite
@article{arxiv.1003.1202,
title = {The quantum Cartan algebra associated to a bicovariant differential calculus},
author = {Lucio S. Cirio and Chiara Pagani and Alessandro Zampini},
journal= {arXiv preprint arXiv:1003.1202},
year = {2015}
}
Comments
20 pages, no figures. Minor corrections in the example in Section 4.