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An analogue of P.B.W. theorem and the universalR-matrix forU h sl(N+1)

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Abstract

One uses Drinfeld's quantum double construction and a basis á la Poincaré-Birkhoff-Witt inU h n + to compute an explicit formula for the quantumR-matrix.

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References

  1. Drinfeld, V. G.: Quantum Groups. vol. 1, 798–820. Proc. I.C.M. Berkeley 1986

  2. Jimbo, M.: Aq-difference analogue ofU(g) and the Yang-Baxter equation. Lett. Math. Phys.11, 247–252 (1986)

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  3. Manin, I. Y.: Some remarks on Koszul algebras and quantum groups. Ann. Inst. Fourier38, 191–205 (1988)

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  4. Priddy, S. B.: Koszul resolutions. Trans. A.M.S.152, 39–60 (1970)

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Authors and Affiliations

  1. Centre de Mathematiques, Ecole Polytechnique, F-91128, Palaiseau Cedex, France

    Marc Rosso

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  1. Marc Rosso
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Communicated by A. Connes

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Rosso, M. An analogue of P.B.W. theorem and the universalR-matrix forU h sl(N+1). Commun. Math. Phys. 124, 307–318 (1989). https://doi.org/10.1007/BF01219200

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  • DOI: https://doi.org/10.1007/BF01219200

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