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Quantum groups, differential calculi and the eigenvalues of the Laplacian

J. Kustermans·G. J. Murphy·L. Tuset
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Abstract

We study *-differential calculi over compact quantum groups in the sense of S.L. Woronowicz. Our principal results are the construction of a Hodge operator commuting with the Laplacian, the derivation of a corresponding Hodge decomposition of the calculus of forms, and, for Woronowicz' first calculus, the calculation of the eigenvalues of the Laplacian

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J. Kustermans, G. J. Murphy, L. Tuset. 2001-11-05. Quantum groups, differential calculi and the eigenvalues of the Laplacian. https://arxiv.org/abs/math/0111042

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