Hodge duality operators on left covariant exterior algebras over two and three dimensional quantum spheres
Quantum Algebra
2012-06-05 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Using non canonical braidings, we first introduce a notion of symmetric tensors and corresponding Hodge operators on a class of left covariant 3d differential calculi over the quantum SU(2) group, then we induce Hodge operators on the left covariant 2d exterior algebras over the standard Podles quantum sphere.
Keywords
Cite
@article{arxiv.1112.6383,
title = {Hodge duality operators on left covariant exterior algebras over two and three dimensional quantum spheres},
author = {Alessandro Zampini},
journal= {arXiv preprint arXiv:1112.6383},
year = {2012}
}
Comments
23 pages - this is a new expanded version replacing the previous version