Representations of quivers on abelian categories and monads on projective varieties
DOI:
https://doi.org/10.11606/issn.2316-9028.v4i3p399-423Abstract
We consider representations of quivers in arbitrary categories and twisted representations of quivers in arbitrary tensor categories. We show that if
A is an abelian category, then the category of representations of a quiver in A is also abelian, and that the category of twisted linear representations of a quiver is equivalent to the category of linear (untwisted) representations of a diferent quiver. We conclude by discussing how representations of quivers arise naturally in certain important problems concerning monads ans sheaves on projective varieties.
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Published
2010-12-30
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Representations of quivers on abelian categories and monads on projective varieties. (2010). The São Paulo Journal of Mathematical Sciences, 4(3), 399-423. https://doi.org/10.11606/issn.2316-9028.v4i3p399-423