Invariant theory of canonical algebras
type: Item
instance of: scholarly article
title: Invariant theory of canonical algebras
zbMATH Open document ID: 0955.16015
author: Helmut Lenzing
author: Matyas Domokos
published in: Journal of Algebra
publication date: 2000-11-26T00:00:00Z
review text: The authors apply methods of classical invariant theory to the investigation of relative invariants of quivers with relations. In particular, they give an explicit construction of the moduli spaces (together with the quotient morphism from the corresponding representation spaces) for families of modules with a fixed dimension vector belonging to the sincere separating subcategory. Moreover using tilting theory, the results are extended to those about concealed-canonical algebras in the sense of \textit{H. Lenzing} and \textit{H. Meltzer} [Representation theory of algebras. Seventh international conference, August 22-26 (1994), Cocoyoc, Mexico, Am. Math. Soc. CMS Conf. Proc. 18, 455-473 (1996; Zbl 0863.16013)], which includes the class of tame hereditary, tame concealed and tubular algebras.
reviewed by: Hagen Meltzer
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 16W22
Mathematics Subject Classification ID: 16G60
zbMATH DE Number: 1471839
zbMATH Keywords: canonical algebras
zbMATH Keywords: invariant theory
zbMATH Keywords: relative invariants
zbMATH Keywords: quivers with relations
zbMATH Keywords: moduli spaces
zbMATH Keywords: sincere separating subcategories
zbMATH Keywords: tilting theory
zbMATH Keywords: concealed-canonical algebras
zbMATH Keywords: tame hereditary algebras
zbMATH Keywords: tame concealed algebras
zbMATH Keywords: tubular algebras
MaRDI profile type: Publication
full work available at URL: jabr.2000.8298
OpenAlex ID: W2001199340
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DOI: 10.1006/JABR.2000.8298
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description: scientific article; zbMATH DE number 1471839