Euler characteristic of quiver Grassmannians and Ringel-Hall algebras of string algebras

Details Euler characteristic of quiver Grassmannians and Ringel-Hall algebras of string algebras Euler characteristic of quiver Grassmannians and Ringel-Hall algebras of string algebras

2010-02-16

arxiv.org/abs/1002.3040v1

Mathematics

Representation Theory

Scientific paper

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.C. Irelli [arXiv:0910.2592]. As an application we consider the Ringel-Hall algebra $C(A)$ of some string algebras $A$ and compute in combinatorial terms the products of arbitrary functions in $C(A)$.

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