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pro vyhledávání: '"ŞEN, Emre"'
We show that for a given Nakayama algebra $\Theta$, there exist countably many cyclic Nakayama algebras $\Lambda_i$, where $i \in \mathbb{N}$, such that the syzygy filtered algebra of $\Lambda_i$ is isomorphic to $\Theta$ and we describe those algebr
Externí odkaz:
http://arxiv.org/abs/2406.00254
Autor:
Igusa, Kiyoshi, Sen, Emre
We show that exceptional sequences in the abelian tube of rank $n$, which we denote $\mathscr{ W}_n$, are related to exceptional sequences of type $B_n$ and $C_n$ and to those of type $B_{n-1}$ and $C_{n-1}$. $\mathscr{W}_n$ has $n^{n-1}$ exceptional
Externí odkaz:
http://arxiv.org/abs/2310.01700
Autor:
Sen, Emre
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 dimension $3k+2$ for any $k\geq 1$. Furthermore, we extend this constr
Externí odkaz:
http://arxiv.org/abs/2307.13262
We classify pointed Hopf algebras of discrete corepresentation type over an algebraically closed field K with characteristic zero. For such algebras $H$, we explicitly determine the algebra structure up to isomorphism for the link indecomposable comp
Externí odkaz:
http://arxiv.org/abs/2211.00507
Autor:
Marczinzik, René, Sen, Emre
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 only if A is quasi-hereditary. We apply this result to improve an inequ
Externí odkaz:
http://arxiv.org/abs/2109.03441
Autor:
Igusa, Kiyoshi, Sen, Emre
We give a representation-theoretic bijection between rooted labeled forests with $n$ vertices and complete exceptional sequences for the quiver of type $A_n$ with straight orientation. The ascending and descending vertices in the forest correspond to
Externí odkaz:
http://arxiv.org/abs/2108.11351
Publikováno v:
In Journal of Pure and Applied Algebra April 2024 228(4)
Autor:
Sen, Emre
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 filtration method introduced in \cite{sen2019}. In particular, we give cha
Externí odkaz:
http://arxiv.org/abs/2009.08888
Autor:
Sen, Emre
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 process. This creates chains of higher Auslander algebras upto $\bold
Externí odkaz:
http://arxiv.org/abs/2009.03383
Autor:
Sen, Emre
We introduce nilpotent k-ary Lie algebras including analogues of Heisenberg Lie algebras and free nilpotent Lie algebras. We study homology of k-ary nilpotent Lie algebras by using a modification of Chevalley-Eilenberg complex. For some classes of ni
Externí odkaz:
http://arxiv.org/abs/2006.03794