2-CY-tilted algebras that are not Jacobian

S Ladkani - arXiv preprint arXiv:1403.6814, 2014 - arxiv.org
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 …

Torsion pairs in repetitive cluster categories of type

H Chang - Journal of Algebraic Combinatorics, 2025 - Springer
We give a complete classification of torsion pairs in repetitive cluster categories of type A n,
which were defined by Zhu (Comm Algebra 39: 2437–2448, 2011) as the orbit categories D …

Combinatorial model for the cluster categories of type E

L Lamberti - Journal of Algebraic Combinatorics, 2015 - Springer
In this paper, we give a geometric-combinatorial description of the cluster categories of type
E E. In particular, we give an explicit geometric description of all cluster-tilting objects in the …

Repetitive cluster categories of type

V Gubitosi - São Paulo Journal of Mathematical Sciences, 2020 - Springer
In this paper, we show that the repetitive cluster category of type D_n D n, defined as the
orbit category D^ b (mod k D_n)/(τ^-1 1)^ p D b (mod k D n)/(τ-1 1) p, is equivalent to a …