56 citations · 143 across the 10 of their papers we have counts for
11 papers
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…
-exangulated categories
Martin Herschend, Yu Liu, Hiroyuki Nakaoka
For each positive integer we introduce the notion of -exangulated categories as higher dimensional analogues of extriangulated categories defined by Nakaoka-Palu. We charact…
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…