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The Algebras of Semi-Invariants of Euclidean Quivers
Authors:Cristina Di Trapano
Institution:1. Department of Mathematics , University of Rome “Tor Vergata,” , Rome, Italy cristinaditrapano@virgilio.it
Abstract:We give a new short proof of Skowroński and Weyman's theorem about the structure of the algebras of semi-invariants of Euclidean quivers, in the case of quivers without oriented cycles and in characteristic zero. Our proof is based essentially on Derksen and Weyman's result about the generators of these algebras and properties of Schofield semi-invariants.
Keywords:Quiver representations  Semi-invariants
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