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Regular version of the site

Article

Homological approach to the Hernandez-Leclerc construction and quiver varieties

Representation Theory. 2014. No. 18. P. 1-14.
Cerulli Irelli G., Feigin E., Reineke M.

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.

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.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. - See more at: http://www.ams.org/journals/ert/2014-18-01/S1088-4165-2014-00449-7/home.html#sthash.TNXUywGF.dpuf