Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Ladkani, Sefi"'
Autor:
Ladkani, Sefi
We develop a method to compute certain mutations of quivers with potentials and use this to construct an explicit family of non-degenerate potentials on the exceptional quiver $X_7$. We confirm a conjecture of Geiss-Labardini-Schroer by presenting a
Externí odkaz:
http://arxiv.org/abs/2306.03818
Autor:
Ladkani, Sefi
Coxeter polynomials are important homological invariants that are defined for a large class of finite-dimensional algebras. It is of particular interest to develop methods to compute these polynomials. We define the notion of insertion of a poset int
Externí odkaz:
http://arxiv.org/abs/2110.15329
We study two constructions related to the intervals of finite posets. The first one is a poset. The second one is more complicated. Loosely speaking it can be seen as a poset with some extra zero-relations. As main result, we show that these two cons
Externí odkaz:
http://arxiv.org/abs/1801.05154
Autor:
Ladkani, Sefi
Publikováno v:
in: Representation Theory -- Current Trends and Perspectives, EMS Series of Congress Reports, European Mathematical Society, Zurich 2017, pp. 427-500
We construct a new class of symmetric algebras of tame representation type that are also the endomorphism algebras of cluster tilting objects in 2-Calabi-Yau triangulated categories, hence all their non-projective indecomposable modules are $\Omega$-
Externí odkaz:
http://arxiv.org/abs/1608.00321
Autor:
Ladkani, Sefi
We observe that over an algebraically closed field, any finite-dimensional algebra is the endomorphism algebra of an m-cluster-tilting object in a triangulated m-Calabi-Yau category, where m is any integer greater than 2.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/1603.09709
Autor:
Ladkani, Sefi
We define algebras of quasi-quaternion type, which are symmetric algebras of tame representation type whose stable module category has certain structure similar to that of the algebras of quaternion type introduced by Erdmann. We observe that symmetr
Externí odkaz:
http://arxiv.org/abs/1404.6834
Autor:
Ladkani, Sefi
Over any field of positive characteristic we construct 2-CY-tilted algebras that are not Jacobian algebras of quivers with potentials. As a remedy, we propose an extension of the notion of a potential, called hyperpotential, that allows to prove that
Externí odkaz:
http://arxiv.org/abs/1403.6814
Autor:
Ladkani, Sefi
We show that many cluster-theoretic properties of the Markov quiver hold also for adjacency quivers of triangulations of once-punctured closed surfaces of arbitrary genus. Along the way we consider the class P of quivers introduced by Kontsevich and
Externí odkaz:
http://arxiv.org/abs/1310.4454
Autor:
Ladkani, Sefi
We compute the Hochschild cohomology groups of gentle algebras and show that they are determined by the derived invariant introduced by Avella-Alaminos and Geiss.
Externí odkaz:
http://arxiv.org/abs/1208.2230