14 citations · 19 across the 7 of their papers we have counts for
7 papers
Approximation by interval-decomposables and interval resolutions of persistence modules
Hideto Asashiba, Emerson G. Escolar, Ken Nakashima +1
In topological data analysis, two-parameter persistence can be studied using the representation theory of the 2d commutative grid, the tensor product of two Dynkin quivers of type…
Lengths of maximal green sequences for tame path algebras
Ryoichi Kase, Ken Nakashima
In this paper, we study the maximal length of maximal green sequences for quivers of type and by using the theory of tilting mutat…
On Approximation of D Persistence Modules by Interval-decomposables
Hideto Asashiba, Emerson G. Escolar, Ken Nakashima +1
In this work, we propose a new invariant for D persistence modules called the compressed multiplicity and show that it generalizes the notions of the dimension vector and the ra…
Simplicial complexes and tilting theory for Brauer tree algebras
Hideto Asashiba, Yuya Mizuno, Ken Nakashima
We study 2-term tilting complexes of Brauer tree algebras in terms of simplicial complexes. We show the symmetry and convexity of the simplicial complexes as lattice polytopes. Via…
On Interval Decomposability of 2D Persistence Modules
Hideto Asashiba, Mickaël Buchet, Emerson G. Escolar +2
In the persistent homology of filtrations, the indecomposable decompositions provide the persistence diagrams. However, in almost all cases of multidimensional persistence, the cla…
On isomorphisms of generalized multifold extensions of algebras without nonzero oriented cycles
H. Asashiba, M. Kimura, K. Nakashima +1
Assume that a basic algebra over an algebraically closed field with a basic set of primitive idempotents has the property that for all . Le…
Decomposition theory of modules: the case of Kronecker algebra
Hideto Asashiba, Ken Nakashima, Michio Yoshiwaki
Let be a finite-dimensional algebra over an algebraically closed field . For any finite-dimensional -module we give a general formula that computes the indecompos…