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Podleś' Quantum Sphere: Dual Coalgebra and Classification of Covariant First Order Differential Calculus

arXiv:math/0204264

Abstract

The dual coalgebra of Podleś' quantum sphere O_q(S^2_c) is determined explicitly. This result is used to classify all finite dimensional covariant first order differential calculi over O_q(S^2_c) for all but exceptional values of the parameter c.

LaTeX2e, 19 pages