Moduli of filtered quiver representations

In this paper, we give a construction of the moduli space of filtered representations of a given quiver of fixed dimension vector with the appropriate notion of stability. The construction of the moduli of filtered representations uses the moduli of representations of ladder quiver. The ladder quive...

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Bibliographic Details
Published inBulletin des sciences mathématiques Vol. 164; p. 102899
Main Authors Amrutiya, Sanjay, Dubey, Umesh V.
Format Journal Article
LanguageEnglish
Published Elsevier Masson SAS 01.11.2020
Subjects
Filtered objects
Moduli spaces
Representations of quivers
Moduli spaces
Filtered objects
primary
Representations of quivers
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Summary:In this paper, we give a construction of the moduli space of filtered representations of a given quiver of fixed dimension vector with the appropriate notion of stability. The construction of the moduli of filtered representations uses the moduli of representations of ladder quiver. The ladder quiver is introduced using a given quiver and an An-type quiver. We also study determinantal theta functions on such moduli spaces.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2020.102899