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Quantum groups, differential calculi and the eigenvalues of the Laplacian
Author(s):
J.
Kustermans;
G.
J.
Murphy;
L.
Tuset
Journal:
Trans. Amer. Math. Soc.
357
(2005),
4681-4717.
MSC (2000):
Primary 58B32, 58B34
Posted:
June 29, 2005
MathSciNet review:
2165384
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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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Additional Information:
J.
Kustermans
Affiliation:
Departement Wiskunde, KU Leuven, Celestijnenlaan 200B, 3000 Leuven, Belgium
Email:
j.kustermans@skynet.be
G.
J.
Murphy
Affiliation:
Department of Mathematics, National University of Ireland, Cork, Ireland
Email:
g.j.murphy@ucc.ie
L.
Tuset
Affiliation:
Faculty of Engineering, University College, Oslo, Norway
Email:
Lars.Tuset@iu.hio.no
DOI:
10.1090/S0002-9947-05-03971-1
PII:
S 0002-9947(05)03971-1
Received by editor(s):
January 23, 2001
Posted:
June 29, 2005
Additional Notes:
The first author was supported by the National Science Foundation of Flanders
Copyright of article:
Copyright
2005,
American Mathematical Society
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