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Introduction to quantum groups

  • I. Structure of Quantum Groups
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Quantum Groups

Part of the book series: Lecture Notes in Physics ((LNP,volume 370))

Abstract

This mini-course presents an approach to quantum groups based on the quantization of Poisson-Lie groups. In this connection the Quantum Yang-Baxter Equation and the algebraic definition of quantum groups appear quite naturally. We discuss quantum groups corresponding to simple Lie groups of classical type, their quantum vector spaces and quantum universal enveloping algebras. In particular the latter are introduced as dual objects to quantum groups with the duality given by a quantum R-matrix.

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Authors and Affiliations

  1. Leningrad branch of the Steklov Mathematical Institute, USSR Academy of Sciences, nab. Fontanka 27 D-11, 191011, Leningrad, USSR

    L. A. Takhtajan

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  1. L. A. Takhtajan
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H. -D. Doebner J. -D. Hennig

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© 1990 Springer-Verlag

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Takhtajan, L.A. (1990). Introduction to quantum groups. In: Doebner, H.D., Hennig, J.D. (eds) Quantum Groups. Lecture Notes in Physics, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53503-9_39

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  • DOI: https://doi.org/10.1007/3-540-53503-9_39

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53503-4

  • Online ISBN: 978-3-540-46647-5

  • eBook Packages: Springer Book Archive

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