2013/02/21 by Giovanni Cerulli Irelli, Evgeny Feigin, Irelli, Giovanni Cerulli +3 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #math.AG #math.RT
paper · pdf · doi:10.48550/arxiv.1302.5297
12 pages
arxiv created 2013/02/21 · arxiv updated 2013/02/22
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.