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      Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry

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          Abstract

          These lecture notes consist of an introduction to moduli spaces in algebraic geometry, with a strong emphasis placed on examples related to the theory of quiver representations. The goal is to provide the background necessary to understand the construction of the moduli spaces of stable and semistable quiver representations due to King, Nakajima's quiver varieties, as well as some 'quiver versions' of existing moduli spaces of algebra-geometric objects.

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          Lie group valued moment maps

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            Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen. I

            H. Weyl (1925)
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              Semi-invariants of quivers for arbitrary dimension vectors

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                Author and article information

                Journal
                08 September 2019
                Article
                1909.03509
                e8f1524a-d10d-4a7e-ae5b-466c8fb764de

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                82 pages, lecture notes based on a 2019 graduate course taught at Aarhus University
                math.AG math.RT

                Geometry & Topology,Algebra
                Geometry & Topology, Algebra

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