Pullback Moduli Spaces

Frauke M Bleher; Ted Chinburg

doi:10.1080/00927870802466744

Back

Journal article

Peer reviewed

Pullback Moduli Spaces

Frauke M Bleher and Ted Chinburg

Communications in Algebra, Vol.37(4), pp.1216-1239

04/02/2009

DOI: 10.1080/00927870802466744

View Online

Abstract

Geometric invariant theory can be used to construct moduli spaces associated to representations of finite dimensional algebras. One difficulty which occurs in various natural cases is that nonisomorphic modules are sent to the same point in the moduli spaces which arise. In this article, we study how this collapsing phenomenon can sometimes be reduced by considering pullbacks of modules for an auxiliary algebra. One application is a geometric proof that the twisting action of an algebra automorphism induces an algebraic isomorphism between moduli spaces.

Moduli spaces

Representations of finite dimensional algebras

Secondary 14D22, 16W20

Algebra automorphisms

Pullbacks

Primary 16G10

Details

Title: Subtitle: Pullback Moduli Spaces
Creators: Frauke M Bleher - Department of Mathematics , University of Iowa
Ted Chinburg - Department of Mathematics , University of Pennsylvania
Resource Type: Journal article
Publication Details: Communications in Algebra, Vol.37(4), pp.1216-1239
DOI: 10.1080/00927870802466744
ISSN: 0092-7872
eISSN: 1532-4125
Publisher: Taylor & Francis Group
Language: English
Date published: 04/02/2009
Academic Unit: Mathematics
Record Identifier: 9983985933802771

Metrics

19 Record Views

1 Times Cited - Web of Science