TY - JOUR
T1 - Homological approach to the hernandez-leclerc construction and quiver varieties
AU - Irelli, Giovanni Cerulli
AU - Feigin, Evgeny
AU - Reineke, Markus
PY - 2014
Y1 - 2014
N2 - In a previous paper the authors have attached to each Dynkin quiver an associative algebra. The definition is categorical and the algebra is used to construct desingularizations of arbitrary quiver Grassmannians. In the present paper we prove that this algebra is isomorphic to an algebra constructed by Hernandez-Leclerc defined combinatorially and used to describe certain graded Nakajima quiver varieties. This approach is used to get an explicit realization of the orbit closures of representations of Dynkin quivers as affine quotients.
AB - In a previous paper the authors have attached to each Dynkin quiver an associative algebra. The definition is categorical and the algebra is used to construct desingularizations of arbitrary quiver Grassmannians. In the present paper we prove that this algebra is isomorphic to an algebra constructed by Hernandez-Leclerc defined combinatorially and used to describe certain graded Nakajima quiver varieties. This approach is used to get an explicit realization of the orbit closures of representations of Dynkin quivers as affine quotients.
UR - http://www.scopus.com/inward/record.url?scp=84896692853&partnerID=8YFLogxK
U2 - 10.1090/S1088-4165-2014-00449-7
DO - 10.1090/S1088-4165-2014-00449-7
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AN - SCOPUS:84896692853
SN - 1088-4165
VL - 18
SP - 1
EP - 14
JO - Representation Theory
JF - Representation Theory
IS - 1
ER -