Journal
ALGEBRAS AND REPRESENTATION THEORY
Volume 15, Issue 4, Pages 755-793Publisher
SPRINGER
DOI: 10.1007/s10468-010-9264-0
Keywords
Covering theory; Euler characteristic; Quiver Grassmannian; Quiver flag variety; Quiver representation; Ringel-Hall algebra; String algebra; Band module; String module; Tree module
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Funding
- BIGS-Mathematics, Bonn
- Mathematical Institute of the University Bonn
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We compute the Euler characteristics of quiver Grassmannians and quiver flag varieties of tree and band modules and prove their positivity. This generalizes some results by G. Cerulli Irelli (2010). As an application we consider the Ringel-Hall algebra of some string algebras A and compute in combinatorial terms the products of arbitrary functions in . These results are transferred to covering theory.
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