De Rham Cohomology and Hodge Decomposition For Quantum Groups

DOI10.1112/plms/83.3.743zbMath1015.46042arXivmath/0008195OpenAlexW2155379891MaRDI QIDQ2766437

István Heckenberger, Axel Schüler

Publication date: 28 January 2002

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008195

zbMATH Keywords

Hodge decompositionde Rham cohomologyquantum groupsquantum Laplace-Beltrami operator

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative differential geometry (46L87) de Rham theory in global analysis (58A12)

Related Items (6)

Spin geometry on quantum groups via covariant differential calculi ⋮ The Serre spectral sequence of a noncommutative fibration for de Rham cohomology ⋮ Quantum groups, differential calculi and the eigenvalues of the Laplacian ⋮ (A class of) Hodge duality operators over the quantum \(\mathrm{SU}(2)\) ⋮ THE VAN EST SPECTRAL SEQUENCE FOR HOPF ALGEBRAS ⋮ HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES

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