Generalized quivers associated to reductive groups
Volume 94 / 2002
Colloquium Mathematicum 94 (2002), 151-173
MSC: 14L35, 16G20, 16G60, 20G20.
DOI: 10.4064/cm94-2-1
Abstract
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.