Generalized quivers associated to reductive groups

Tom 94 / 2002

Harm Derksen, Jerzy Weyman Colloquium Mathematicum 94 (2002), 151-173 MSC: 14L35, 16G20, 16G60, 20G20. DOI: 10.4064/cm94-2-1


We generalize the definition of quiver representation to arbitrary reductive groups. The classical definition corresponds to the general linear group. We also show that for classical groups our definition gives symplectic and orthogonal representations of quivers with involution inverting the direction of arrows.


  • Harm DerksenDepartment of Mathematics
    University of Michigan
    Ann Arbor, MI 48109, U.S.A.
  • Jerzy WeymanDepartment of Mathematics
    Northeastern University
    Boston, MA 02115, U.S.A.

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