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Communications in Mathematical Physics

, Volume 205, Issue 1, pp 19–52 | Cite as

Exchange Dynamical Quantum Groups

  • P. Etingof
  • A. Varchenko
Article

Abstract:

For any simple Lie algebra ? and any complex number q which is not zero or a nontrivial root of unity, %but may be equal to 1 we construct a dynamical quantum group (Hopf algebroid), whose representation theory is essentially the same as the representation theory of the quantum group U q (?). This dynamical quantum group is obtained from the fusion and exchange relations between intertwining operators in representation theory of U q (?), and is an algebraic structure standing behind these relations.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • P. Etingof
    • 1
  • A. Varchenko
    • 2
  1. 1.Department of Mathematics, Harvard University, Cambridge, MA 02138, USA.¶E-mail: etingof@math.harvard.eduUSA
  2. 2.Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA. E-mail: av@math.unc.eduUSA

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