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math.RT2007★ 8 cited
Which canonical algebras are derived equivalent to incidence algebras of posets?
Sefi Ladkani
We give a full description of all the canonical algebras over an algebraically closed field that are derived equivalent to incidence algebras of finite posets. These are the canoni…
math.RT2006★ 23 cited
On the periodicity of Coxeter transformations and the non-negativity of their Euler forms
Sefi Ladkani
We show that for piecewise hereditary algebras, the periodicity of the Coxeter transformation implies the non-negativity of the Euler form. Contrary to previous assumptions, the co…
math.RT2006★ 28 cited
On Derived Equivalences of Categories of Sheaves Over Finite Posets
Sefi Ladkani
A finite poset X carries a natural structure of a topological space. Fix a field k, and denote by D(X) the bounded derived category of sheaves of finite dimensional k-vector spaces…