Generalized quivers associated to reductive groups

• Autorzy: Harm Derksen , Jerzy Weyman
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20G20: Linear algebraic groups over the reals, the complexes, the quaternions
• 14L35: Classical groups (geometric aspects)
• 16G20: Representations of quivers and partially ordered sets
• 16G60: Representation type (finite, tame, wild, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 94
• Numer: 2
• Strony: 151-173

Daty

wydano

2002

Twórcy

autor

Harm Derksen

• Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, U.S.A.

autor

Jerzy Weyman

• Department of Mathematics, Northeastern University, Boston, MA 02115, U.S.A.

Identyfikatory

DOI

10.4064/cm94-2-1