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

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

2002-04-22

arxiv.org/abs/math/0204264v1

Mathematics

Quantum Algebra

LaTeX2e, 19 pages

Scientific paper

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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