Journal
ALGEBRAS AND REPRESENTATION THEORY
Volume 16, Issue 6, Pages 1733-1786Publisher
SPRINGER
DOI: 10.1007/s10468-012-9380-0
Keywords
Moduli spaces; Preprojective algebras; Tilting theory; McKay correspondence; Kleinian singularities
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Funding
- JSPS Fellowships for Young Scientists [21-6922, 22-5801]
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We apply tilting theory over preprojective algebras I > to the study of moduli spaces of I >-modules. We define the categories of semistable modules and give equivalences, so-called reflection functors, between them by using tilting modules over I >. Moreover we prove that the equivalence induces an isomorphism of K-schemes between moduli spaces. In particular, we study the case when the moduli spaces are related to Kleinian singularities, and generalize some results of Crawley-Boevey (Am J Math 122:1027-1037, 2000).
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