Levi-Civita Connections on the Quantum Groups SLq(N), Oq(N) and Spq(N) |
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| Authors: | Heckenberger István Schmüdgen Konrad |
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| Institution: | (1) Universit?t Leipzig, Fakult?t für Mathematik und Informatik und NTZ, Augustusplatz 10, 04109 Leipzig, Germany.?E-mail: istvan@aix550.informatik.uni-leipzig.de, schmuedgen@mathematik.uni-leipzig.d400.de, DE |
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| Abstract: | For bicovariant differential calculi on quantum groups various notions on connections and metrics (bicovariant connections,
invariant metrics, the compatibility of a connection with a metric, Levi-Civita connections) are introduced and studied. It
is proved that for the bicovariant differential calculi on SL
q
(N), O
q
(N) and Sp
q
(N) from the classification in 18] there exist unique Levi-Civita connections.
Received: Received: 28 February 1996 / Accepted: 1 October 1996 |
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| Keywords: | |
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