Moduli Spaces of Representations of Special Biserial Algebras

Andrew T Carroll; Calin Chindris; Ryan Kinser; Jerzy Weyman

doi:10.1093/imrn/rny028

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Moduli Spaces of Representations of Special Biserial Algebras

Journal article

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Moduli Spaces of Representations of Special Biserial Algebras

Andrew T Carroll, Calin Chindris, Ryan Kinser and Jerzy Weyman

International mathematics research notices, Vol.2020(2), pp.403-421

01/01/2020

DOI: 10.1093/imrn/rny028

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Abstract

We show that the irreducible components of any moduli space of semistable representations of a special biserial algebra are always isomorphic to products of projective spaces of various dimensions. This is done by showing that irreducible components of varieties of representations of special biserial algebras are isomorphic to irreducible components of products of varieties of circular complexes and therefore normal, allowing us to apply recent results of the second and third authors on moduli spaces.

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Details

Title: Subtitle: Moduli Spaces of Representations of Special Biserial Algebras
Creators: Andrew T Carroll - DePaul University
Calin Chindris - University of Missouri
Ryan Kinser - University of Iowa
Jerzy Weyman - University of Connecticut
Resource Type: Journal article
Publication Details: International mathematics research notices, Vol.2020(2), pp.403-421
Publisher: OXFORD UNIV PRESS
DOI: 10.1093/imrn/rny028
ISSN: 1073-7928
eISSN: 1687-0247
Number of pages: 19
Grant note: DMS-1400740 / National Science Foundation H98230-15-1-0022 / National Security Agency
Language: English
Date published: 01/01/2020
Academic Unit: Mathematics
Record Identifier: 9984241042902771

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