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The nonstandardq-deformation of enveloping algebraU(so n ): results and problems

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Czechoslovak Journal of Physics Aims and scope

Abstract

We describe properties of the nonstandardq-deformationU /′ q (so n ) of the universal enveloping algebraU(so n ) of the Lie algebra so n which does not coincide with the Drinfeld-Jimbo quantum algebraU q(so n ) and is important for quantum gravity. Many unsolved problems are formulated. Some of these problems are solved in special cases.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Ukrainian National Academy of Sciences, Metrologichna str., 14-b, 03143, Kiev, Ukraine

    A. U. Klimyk

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  1. A. U. Klimyk
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The research of this paper was made possible in part by Award UP1-2115 of U.S. Civilian Research and Development Foundation.

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Klimyk, A.U. The nonstandardq-deformation of enveloping algebraU(so n ): results and problems. Czech J Phys 51, 331–340 (2001). https://doi.org/10.1023/A:1017589422602

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  • DOI: https://doi.org/10.1023/A:1017589422602

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