Mathematics – Quantum Algebra
Scientific paper
2001-11-05
Mathematics
Quantum Algebra
39 pages, LaTeX2e
Scientific paper
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
Kustermans Johan
Murphy Gerard J.
Tuset Lars
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