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Quantization of triangular Lie bialgebras
Authors:V. A. Dolgushev  A. P. Isaev  S. L. Lyakhovich  A. A. Sharapov
Affiliation:(1) Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, 141 980 Moscow Region, Russia;(2) Physics Department, Tomsk State University, Lenin av. 36, 634050 Tomsk, Russia
Abstract:We derive a universal twisting element for an arbitrary triangularγ-matrix using a simple analogue of the Fedosov quantization method. Presented at the 11th Colloquium “Quantum Groups and Integrable Systems”, Prague, 20–22 June 2002. The work of SLL is partially supported by RFBR grant 00-02-17-956 and the grant INTAS 00-262. The work of AASh is supported by RFBR grant 02-02-06879 and Russian Ministry of Education under the grant E-00-33-184. The work of VAD is partially supported by the grant INTAS 00-561 and by the Grant for Support of Scientific Schools 00-15-96557. The work of API is partially supported by the RFBR grant 00-01-00299.
Keywords:04.60.Ds  03.65.Fd
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