Podles' quantum sphere: dual coalgebra and classification of covariant first-order differential calculus

摘要

The dual coalgebra of Podles' quantum sphere O-q(S-c(2)) is determined explicitly. This result is used to classify all finite-dimensional covariant first-order differential calculi over O-q(S-c(2)) for all but exceptional values of the parameter c. (C) 2003 Elsevier Science (USA). All rights reserved. [References: 13]