7 citations · 26 across the 14 of their papers we have counts for
15 papers
Serre duality, Mukai pairing and universal Auslander--Reiten triangle
Hiroyuki Minamoto
We study the relationship between Serre duality and the Mukai pairing for smooth and proper dg-algebras. We introduce an alternative definition of the Mukai pairing and prove that…
-tilting theory and silting theory of skew group algebra extensions
Yuta Kimura, Ryotaro Koshio, Yuta Kozakai +2
Let be a finite dimensional algebra with an action by a finite group and the skew group algebra. One of our main results asserts that the canonical restriction-in…
The Hilbert series of the preprojective algebras
Hiroyuki Minamoto
The aim of this short note is to prove the formula of the Hilbert series of the preprojective algebras in arbitrary characteristic by making effective use of the formulas of the Hi…
Quiver Heisenberg algebras: a cubic analogue of preprojective algebras
Martin Herschend, Hiroyuki Minamoto
In this paper we study a certain class of central extensions of preprojective algebras of quivers under the name quiver Heisenberg algebras (QHA). There are several classes of alge…
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…
-linear triangulated categories and stability conditions
Kotaro Kawatani
Let be a commutative ring. We introduce the notion of support of objects in an -linear triangulated category. As an application, we study the non-existence of Bridgeland sta…