Differential operators on quantum spaces for GL
q
(n) and SO
q
(n) |
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| Authors: | O Ogievetsky |
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| Institution: | (1) Max-Planck-Institut für Physik und Astrophysik, Werner-Heisenberg-Institut für Physik, PO Box 40 12 12, D-8000 Munich 40, Germany;(2) Present address: Theoretical Department, P. N. Lebedev Physical Institute, Leninsky prospect 53, 117924 Moscow, Russia |
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| Abstract: | We prove that the rings of q-differential operators on quantum planes of the GL
q
(n) and SO
q
(n) types are isomorphic to the rings of classical differential operators. Also, we construct decompositions of the rings of q-differential operators into tensor products of the rings of q-differential operators with less variables. |
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| Keywords: | 16W30 81R05 |
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