Quantum G-spaces and Heisenberg algebra

  • L. I. Korogodsky
  • L. L. Vaksman
I. Quantum Groups, Deformation Theory And Representation Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1510)


In this paper we construct an isomorphism between the quantum Heisenberg algebra and a quantum function algebra. Some applications to the representation theory of quantum groups SU (n, 1) and SU (n + 1) are given.


Quantum Group Function Algebra Geometric Progression Weyl Algebra Geometric Realization 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • L. I. Korogodsky
    • 1
  • L. L. Vaksman
    • 1
  1. 1.Department of MathematicsRostov State UniversityRostov-na-DounUSSR

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