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The role of solvable groups in quantization of Lie algebras

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Abstract

A wide class of quantum universal enveloping algebras uniquely corresponding to Hopf algebras H with spectrum Q(H) in the category of groups is defined. Such quantum algebras are the quantum groups of the simply connected solvable Lie groups P(H). Bibliography: 7 titles.

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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 209, 1994, pp. 168–178

Translated by V. D. Lyakhovskii

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Lyakhovskii, V.D. The role of solvable groups in quantization of Lie algebras. J Math Sci 83, 106–112 (1997). https://doi.org/10.1007/BF02398465

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  • DOI: https://doi.org/10.1007/BF02398465

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