Generalized quivers associated to reductive groups
Colloquium Mathematicum, Tome 94 (2002) no. 2, pp. 151-173
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
generalize definition quiver representation arbitrary reductive groups classical definition corresponds general linear group classical groups definition gives symplectic orthogonal representations quivers involution inverting direction arrows
Affiliations des auteurs :
Harm Derksen 1 ; Jerzy Weyman 2
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author = {Harm Derksen and Jerzy Weyman},
title = {Generalized quivers associated to reductive groups},
journal = {Colloquium Mathematicum},
pages = {151--173},
publisher = {mathdoc},
volume = {94},
number = {2},
year = {2002},
doi = {10.4064/cm94-2-1},
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TY - JOUR AU - Harm Derksen AU - Jerzy Weyman TI - Generalized quivers associated to reductive groups JO - Colloquium Mathematicum PY - 2002 SP - 151 EP - 173 VL - 94 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm94-2-1/ DO - 10.4064/cm94-2-1 LA - en ID - 10_4064_cm94_2_1 ER -
Harm Derksen; Jerzy Weyman. Generalized quivers associated to reductive groups. Colloquium Mathematicum, Tome 94 (2002) no. 2, pp. 151-173. doi: 10.4064/cm94-2-1
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