Hodge and Laplace-Beltrami Operators for Bicovariant Differential Calculi on Quantum Groups

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dc.creatorHeckenberger, I.
dc.date1999-02-23
dc.date.accessioned2026-07-07T05:27:59Z
dc.date.available2026-07-07T05:27:59Z
dc.descriptionFor bicovariant differential calculi on quantum matrix groups a generalisation of classical notions such as metric tensor, Hodge operator, codifferential and Laplace-Beltrami operator for arbitrary k-forms is given. Under some technical assumptions it is proved that Woronowicz' external algebra of left-invariant differential forms either contains a unique form of maximal degree or it is infinite dimensional. Using Jucys-Murphy elements of the Hecke algebra the eigenvalues of the Laplace-Beltrami operator for the Hopf algebra O(SLq(N)) are computed.
dc.description30 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/9902130
dc.identifierhttp://arxiv.org/abs/math/9902130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78137
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject17B37, 58A14, 81R50
dc.titleHodge and Laplace-Beltrami Operators for Bicovariant Differential Calculi on Quantum Groups
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