Abstract We study support\(\tau\)-tilting modules over preprojective algebras of Dynkin type.
We classify basic support\(\tau\)-tilting modules by giving a bijection with elements in the …

We introduce and study a class of Iwanaga–Gorenstein algebras defined via quivers with
relations associated with symmetrizable Cartan matrices. These algebras generalize the …

For a finite-dimensional algebra A over a field K with n simple modules, the real
Grothendieck group K 0 (proj A) R:= K 0 (proj A)⊗ ZR≅ R n gives stability conditions of King …

A new construction of the associahedron was recently given by Arkani-Hamed, Bai, He, and
Yan in connection with the physics of scattering amplitudes. We show that their construction …

We introduce some new Frobenius subcategories of the module category of a preprojective
algebra of Dynkin type, and we show that they have a cluster structure in the sense of Buan …

For a finite dimensional algebra $ A $ over a field $ k $, the 2-term silting complexes of $ A $
gives a simplicial complex $\Delta (A) $ called the\emph {$ g $-simplicial complex}. We give …

In this paper, we study the relationship between wide subcategories and torsion classes of
an abelian length category AA from the point of view of lattice theory. Motivated by τ-tilting …

In this article we explain how the coordinate ring of each (open) Schubert variety in the
Grassmannian can be identified with a cluster algebra, whose combinatorial structure is …

Abstract We survey Jean-Louis Loday's vertex description of the associahedron, and its far
reaching influence in combinatorics, discrete geometry, and algebra. We present in …

We study tilting complexes over preprojective algebras of Dynkin type. We classify all tilting
complexes by giving a bijection between tilting complexes and the braid group of the …