Generalized quivers associated to reductive groups

Harm Derksen, and Jerzy Weyman. "Generalized quivers associated to reductive groups." Colloquium Mathematicae 94.2 (2002): 151-173. <http://eudml.org/doc/284957>.

@article{HarmDerksen2002,
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.},
author = {Harm Derksen, Jerzy Weyman},
journal = {Colloquium Mathematicae},
keywords = {generalized quiver representations; classical groups; quivers with involution; Dynkin graphs; tame representation type; orthogonal groups; symplectic groups; reductive algebraic groups; general linear groups; finite representation type},
language = {eng},
number = {2},
pages = {151-173},
title = {Generalized quivers associated to reductive groups},
url = {http://eudml.org/doc/284957},
volume = {94},
year = {2002},
}

TY - JOUR
AU - Harm Derksen
AU - Jerzy Weyman
TI - Generalized quivers associated to reductive groups
JO - Colloquium Mathematicae
PY - 2002
VL - 94
IS - 2
SP - 151
EP - 173
AB - 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.
LA - eng
KW - generalized quiver representations; classical groups; quivers with involution; Dynkin graphs; tame representation type; orthogonal groups; symplectic groups; reductive algebraic groups; general linear groups; finite representation type
UR - http://eudml.org/doc/284957
ER -