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20152020
most citedRemarks on lengths of maximal green sequences for quivers of type

9 citations · 11 across the 4 of their papers we have counts for

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math.RT2025

Frobenius--Perron dimension via -tilting theory

Takahide Adachi, Ryoichi Kase

From the perspective of -tilting theory, we study Frobenius--Perron dimensions of finite-dimensional algebras. First, we evaluate the Frobenius--Perron dimensions of -tilting…

math.RT2020

Examples of tilting-discrete self-injective algebras which are not silting-discrete

Takahide Adachi, Ryoichi Kase

In this paper, we introduce the notion of -stable silting-discrete algebras, which unify silting-discrete algebras and tilting-discrete self-injective algebras, where is a t…

math.RT2020

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…

math.RT2017

From support -tilting posets to algebras

Ryoichi Kase

The aim of this paper is to study a poset isomorphism between two support -tilting posets. We take several algebraic information from combinatorial properties of support -til…

math.RT20172 cited

Self-injective cellular algebras of polynomial growth representation type

Susumu Ariki, Ryoichi Kase, Kengo Miyamoto +1

We classify Morita equivalence classes of indecomposable self-injective cellular algebras which have polynomial growth representation type, assuming that the base field has an odd…

math.RT2016

Weak orders on symmetric groups and posets of support -tilting modules

Ryoichi Kase

We give a necessary and sufficient condition for that the support -tilting poset of a finite dimensional algebra is isomorphic to the poset of symmetric group with weak order. M…