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De Rham Cohomology and Hodge Decomposition For Quantum Groups

De Rham Cohomology and Hodge Decomposition For Quantum Groups

Let Γ = Γ τ , z be one of the N2-dimensional bicovariant first order differential calculi for the quantum groups GLq(N), SLq(N), SOq(N), or Spq(N), where q is a transcendental complex number and z is a regular parameter. It is shown that the de Rham cohomology of Woronowicz' external …