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20182023
most citedSyzygy Filtrations of Cyclic Nakayama Algebras

8 citations · 12 across the 12 of their papers we have counts for

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12 papers

math.RT2023

Higher Auslander Algebras arising from Dynkin Quivers and n-Representation Finite Algebras

Emre Sen

In the derived category of mod-KQ for Dynkin quiver Q, we construct a full subcategory in a canonical way, so that its endomorphism algebra is a higher Auslander algebra of global…

math.RT2022

Pointed Hopf Algebras of Discrete Corepresentation Type

Miodrag Iovanov, Emre Sen, Alexander Sistko +1

We classify pointed Hopf algebras of discrete corepresentation type over an algebraically closed field K with characteristic zero. For such algebras , we explicitly determine th…

math.RT2021

A new characterisation of quasi-hereditary Nakayama algebras and applications

René Marczinzik, Emre Sen

We call a finite dimensional algebra A S-connected if the projective dimensions of the simple A-modules form an interval. We prove that a Nakayama algebra A is S-connected if and o…

math.RT2021

Exceptional sequences and rooted labeled forests

Kiyoshi Igusa, Emre Sen

We give a representation-theoretic bijection between rooted labeled forests with vertices and complete exceptional sequences for the quiver of type with straight orientat…

math.RT2020

Delooping Level of Nakayama algebras

Emre Sen

We give another proof of the recent result of Ringel, which asserts equality between the finitistic dimension and delooping level of Nakayama algebras. The main tool is syzygy filt…

math.RT2020★ 3 cited

Nakayama Algebras which are Higher Auslander Algebras

Emre Sen

We prove that any cyclic Nakayama algebra which is a higher Auslander algebra can be uniquely constructed from Nakayama algebras of smaller ranks by reversing the syzygy filtration…