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The Quantum Algebra U q (sl2)and Its Representations

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Quantum Groups and Their Representations

Part of the book series: Texts and Monographs in Physics ((TMP))

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Abstract

This chapter is devoted to a detailed study of the Hopf algebra U q (sl2). It can be considered as a one-parameter deformation of the universal enveloping algebra U(sl2) (see Example 1.6) and is the simplest example of the quantized universal enveloping algebras U q (g) which will be investigated in Chap. 6. Following common terminology in physics, we call U q (sl2) a quantum algebra.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Ukrainian Academy of Sciences, Kiev, 252143, Ukraine

    Professor Dr. Anatoli Klimyk

  2. Fakultät für Mathematik und Informatik, Universität Leipzig, D-04109, Leipzig, Germany

    Professor Dr. Konrad Schmüdgen

Authors
  1. Professor Dr. Anatoli Klimyk
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  2. Professor Dr. Konrad Schmüdgen
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© 1997 Springer-Verlag Berlin Heidelberg

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Klimyk, A., Schmüdgen, K. (1997). The Quantum Algebra U q (sl2)and Its Representations. In: Quantum Groups and Their Representations. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60896-4_3

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  • DOI: https://doi.org/10.1007/978-3-642-60896-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64601-0

  • Online ISBN: 978-3-642-60896-4

  • eBook Packages: Springer Book Archive

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