27 citations · 53 across the 12 of their papers we have counts for
9 papers · 1 filter
Tilting theory for finite dimensional -Iwanaga-Gorenstein algebras
Yuta Kimura, Hiroyuki Minamoto, Kota Yamaura
In representation theory of graded Iwanaga-Gorenstein algebras, tilting theory of the stable category of graded Cohen-Macaulay modules play…
On deformed preprojective algebras
William Crawley-Boevey, Yuta Kimura
Deformed preprojective algebras are generalizations of the usual preprojective algebras introduced by Crawley-Boevey and Holland, which have applications to Kleinian singularities,…
Classifying subcategories of modules over Noetherian algebras
Osamu Iyama, Yuta Kimura
The aim of this paper is to unify classification theories of torsion classes of finite dimensional algebras and commutative Noetherian rings. For a commutative Noetherian ring …
Tilting and silting theory of noetherian algebras
Yuta Kimura
We develop silting theory of a noetherian algebra over a commutative noetherian ring . We study mutation theory of -term silting complexes of , and as a consequence, w…
Combinatorics of quasi-hereditary structures
Manuel Flores, Yuta Kimura, Baptiste Rognerud
A quasi-hereditary algebra is an Artin algebra together with a partial order on its set of isomorphism classes of simple modules which satisfies certain conditions. In this article…
Two-term tilting complexes for preprojective algebras of non-Dynkin type
Yuta Kimura, Yuya Mizuno
In this paper, we study two-term tilting complexes for preprojective algebras of non-Dynkin type. We show that there exist two families of two-term tilting complexes, which are res…