56 citations · 143 across the 10 of their papers we have counts for
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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…
-cluster tilting subcategories for Nakayama algebras
Martin Herschend, Sondre Kvamme, Laertis Vaso
-cluster tilting subcategories are an ideal setting for higher dimensional Auslander-Reiten theory. We give a complete classification of -cluster tilting…
Classification of higher wide subcategories for higher Auslander algebras of type A
Martin Herschend, Peter Jorgensen
A subcategory of an abelian category is called wide if it is closed under kernels, cokernels, and extensions. Wide subcategories are of interest in representation the…
Wide subcategories of -cluster tilting subcategories
Martin Herschend, Peter Jorgensen, Laertis Vaso
A subcategory of an abelian category is wide if it is closed under sums, summands, kernels, cokernels, and extensions. Wide subcategories provide a significant interface between re…
Representation theory of Geigle-Lenzing complete intersections
Martin Herschend, Osamu Iyama, Hiroyuki Minamoto +1
Weighted projective lines, introduced by Geigle and Lenzing in 1987, are important objects in representation theory. They have tilting bundles, whose endomorphism algebras are the…
n-Representation infinite algebras
Martin Herschend, Osamu Iyama, Steffen Oppermann
From the viewpoint of higher dimensional Auslander-Reiten theory, we introduce a new class of finite dimensional algebras of global dimension n, which we call n-representation infi…
Selfinjective quivers with potential and 2-representation-finite algebras
Martin Herschend, Osamu Iyama
We study quivers with potential (QPs) whose Jacobian algebras are finite dimensional selfinjective. They are an analogue of the `good QPs' studied by Bocklandt whose Jacobian algeb…
n-representation-finite algebras and twisted fractionally Calabi-Yau algebras
Martin Herschend, Osamu Iyama
In this short paper, we study -representation-finite algebras from the viewpoint of the fractionally Calabi-Yau property. We shall show that all -representation-finite algebr…
Solution to the Clebsch-Gordan problem for string algebras
Martin Herschend
The category of modules over a string algebra is equipped with a tensor product defined point-wise and arrow-wise in terms of the underlying quiver. In the present article we inves…
On the representation ring of the polynomial algebra over a perfect field
Erik Darpö, Martin Herschend
We consider the tensor product of modules over the polynomial algebra corresponding to the usual tensor product of linear operators. We present a general description of the represe…