The symplectic geometry of higher Auslander algebras: Symmetric products of disks
T Dyckerhoff, G Jasso, Y Lekili - Forum of Mathematics, Sigma, 2021 - cambridge.org
The symplectic geometry of higher Auslander algebras: Symmetric products of disks Page 1
Forum of Mathematics, Sigma (2021), Vol. 9:e10 1–49 doi:10.1017/fms.2021.2 RESEARCH …
Forum of Mathematics, Sigma (2021), Vol. 9:e10 1–49 doi:10.1017/fms.2021.2 RESEARCH …
A complete derived invariant and silting theory for graded gentle algebras
H Jin, S Schroll, Z Wang - arXiv preprint arXiv:2303.17474, 2023 - arxiv.org
We show that among the derived equivalent classes of homologically smooth and proper
graded gentle algebras there is only one class whose perfect derived category does not …
graded gentle algebras there is only one class whose perfect derived category does not …
Derived equivalence classification of Brauer graph algebras
S Opper, A Zvonareva - Advances in Mathematics, 2022 - Elsevier
We classify Brauer graph algebras up to derived equivalence by showing that the set of
derived invariants introduced by Antipov is complete. These algebras first appeared in …
derived invariants introduced by Antipov is complete. These algebras first appeared in …
Two geometric models for graded skew-gentle algebras
Y Qiu, C Zhang, Y Zhou - arXiv preprint arXiv:2212.10369, 2022 - arxiv.org
In Part 1, we classify (indecomposable) objects in the perfect derived category $\mathrm
{per}\Lambda $ of a graded skew-gentle algebra $\Lambda $, generalizing …
{per}\Lambda $ of a graded skew-gentle algebra $\Lambda $, generalizing …
Derived categories of skew-gentle algebras and orbifolds
D Labardini-Fragoso, S Schroll… - Glasgow Mathematical …, 2022 - cambridge.org
Skew-gentle algebras are a generalisation of the well-known class of gentle algebras with
which they share many common properties. In this work, using non-commutative Gröbner …
which they share many common properties. In this work, using non-commutative Gröbner …
A geometric realization of silting theory for gentle algebras
A gentle algebra gives rise to a dissection of an oriented marked surface with boundary into
polygons and the bounded derived category of the gentle algebra has a geometric …
polygons and the bounded derived category of the gentle algebra has a geometric …
A geometric model for the module category of a skew-gentle algebra
P He, Y Zhou, B Zhu - Mathematische Zeitschrift, 2023 - Springer
In this article, we realize skew-gentle algebras as skew-tiling algebras associated to
admissible partial triangulations of punctured marked surfaces. Based on this, we establish …
admissible partial triangulations of punctured marked surfaces. Based on this, we establish …
A negative answer to Complement Question for presilting complexes
YZ Liu, Y Zhou - Journal of Algebra, 2025 - Elsevier
In this paper using a geometric model we show that there is a presilting complex over a finite
dimensional algebra, which is not a direct summand of a silting complex.
dimensional algebra, which is not a direct summand of a silting complex.
On auto-equivalences and complete derived invariants of gentle algebras
S Opper - arXiv preprint arXiv:1904.04859, 2019 - arxiv.org
We study triangulated categories which can be modeled by an oriented marked surface
$\mathcal {S} $ and a line field $\eta $ on $\mathcal {S} $. This includes bounded derived …
$\mathcal {S} $ and a line field $\eta $ on $\mathcal {S} $. This includes bounded derived …
Derived equivalences of Brauer graph algebras
A Zvonareva - arXiv preprint arXiv:2405.05602, 2024 - arxiv.org
arXiv:2405.05602v1 [math.RT] 9 May 2024 Page 1 arXiv:2405.05602v1 [math.RT] 9 May 2024
Chapter 1 Derived equivalences of Brauer graph algebras Alexandra Zvonareva The aim of this …
Chapter 1 Derived equivalences of Brauer graph algebras Alexandra Zvonareva The aim of this …