• Title of article

    On the Double of the Hall Algebra of a Quiver

  • Author/Authors

    Bert Sevenhant، نويسنده , , Michel van den Bergh، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1999
  • Pages
    26
  • From page
    135
  • To page
    160
  • Abstract
    We show that it is possible to define reflection isomorphisms on the double of the (twisted) Hall algebra of a quiver. Combining these reflections with Fourier transform yields an alternative construction of Lusztigʹs braid group action on a quantum enveloping algebra.
  • Keywords
    Hall algebra , quantum Weyl groups , Quantum groups
  • Journal title
    Journal of Algebra
  • Serial Year
    1999
  • Journal title
    Journal of Algebra
  • Record number

    694748