Autoequivalences of Tensor Categories Attached to Quantum Groups at Roots of 1

  • Alexei DavydovEmail author
  • Pavel Etingof
  • Dmitri Nikshych
Part of the Progress in Mathematics book series (PM, volume 326)


We compute the group of braided tensor autoequivalences and the Brauer- Picard group of the representation category of the small quantumgroup uq(g), where q is a root of unity.


tensor category quantum group autoequivalence braiding quantum Frobenius 

Mathematics Subject Classification (2010):

17B37 81R50 20G42 18D10 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Alexei Davydov
    • 1
    Email author
  • Pavel Etingof
    • 2
  • Dmitri Nikshych
    • 3
  1. 1.Department of MathematicsOhio UniversityAthensUSA
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  3. 3.Department of Mathematics and StatisticsUniversity of New HampshireDurhamUSA

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