4 papers
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…
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 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…