Line bundles on quantum spheres
Brzezinski, Tomasz ; Majid, Shahn
arXiv, 9807052 / Harvested from arXiv
Text on arXiv
The (left coalgebra) line bundle associated to the quantum Hopf fibration of any quantum two-sphere is shown to be a finitely generated projective module. The corresponding projector is constructed and its monopole charge is computed. It is shown that the Dirac $q$-monopole connection on any quantum two-sphere induces the Grassmannian connection built with this projector.
Publié le : 1998-07-10
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  81R50,  17B37,  16W30 
@article{9807052,
     author = {Brzezinski, Tomasz and Majid, Shahn},
     title = {Line bundles on quantum spheres},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807052}
}

Brzezinski, Tomasz; Majid, Shahn. Line bundles on quantum spheres. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807052/