Podle\'s' Quantum Sphere: Dual Coalgebra and Classification of Covariant First Order Differential Calculus

I. Heckenberger , S. Kolb

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keywords coalgebracovariantdifferentialdualfirstorderpodlequantum

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The dual coalgebra of Podle\'s' 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.

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Podle\'s' Quantum Sphere: Dual Coalgebra and Classification of Covariant First Order Differential Calculus

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