most citedEuler characteristic of quiver Grassmannians and Ringel-Hall algebras of string algebras

6 citations · 7 across the 2 of their papers we have counts for

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2 papers

math.RT2010★ 1 cited

Quivers without loops admit global dimension 2

Nicolas Poettering

Let be a finite quiver without loops. Then there is an admissible ideal such that the algebra has global dimension at most two and is (strongly) quasi-hereditary. In…

math.RT2010★ 6 cited

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

Nicolas Poettering

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. Ir…