Normality of maximal orbit closures for Euclidean quivers

2011/09/12 by Grzegorz Bobiński, Grzegorz Bobinski, Bobinski, Grzegorz
Mathematics · #16G20 (Primary) 14L30 (Secondary) #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:14L30 #msc:16G20

paper · pdf · doi:10.48550/arxiv.1109.2390

arxiv created 2011/09/12 · openalex publication_date 2011/09/12 · arxiv updated 2011/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Delta be an Euclidean quiver. We prove that the closures of the maximal orbits in the varieties of representations of Delta are normal and Cohen--Macaulay (even complete intersections). Moreover, we give a generalization of this result for the tame concealed-canonical algebras.

Citations

• Algebras and Quadratic Forms

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