A remark on a theorem by Claire Amiot

Autor: Bernhard Keller

Publikováno v: Comptes Rendus Mathematique. 356:984-986

Claire Amiot has classified the connected triangulated k-categories with finitely many isoclasses of indecomposables satisfying suitable hypotheses. We remark that her proof shows that these triangulated categories are determined by their underlying

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6f7a16df05a65eae8e045a477c575784
https://doi.org/10.1016/j.crma.2018.09.003

Cluster algebras and cluster categories associated with triangulated surfaces: an introduction

Autor: Claire Amiot

Publikováno v: Winter Braids Lecture Notes. 5:1-14

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c47ccac7981e5362e7e3a818144a61fc
https://doi.org/10.5802/wbln.21

Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday

Autor: Osamu Iyama, Idun Reiten, Claire Amiot

Publikováno v: American Journal of Mathematics. 137:813-857

By Auslander's algebraic McKay correspondence, the stable category of Cohen-Macaulay modules over a simple singularity is triangle equivalent to the $1$-cluster category of the path algebra of a Dynkin quiver (i.e., the orbit category of the derived

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fb9383166ff017e68055729ad577e842
https://doi.org/10.1353/ajm.2015.0019

The Derived Category of Surface Algebras: the Case of the Torus with One Boundary Component

Autor: Claire Amiot

Publikováno v: Algebras and Representation Theory
Algebras and Representation Theory, Springer Verlag, 2016, 19 (5), pp.1059-1080. ⟨10.1007/s10468-016-9611-x⟩

In this paper we refine the main result of a previous paper of the author with Grimeland on derived invariants of surface algebras. We restrict to the case where the surface is a torus with one boundary component and give an easily computable derived

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7292d89a73a54b1e2ca068745f826cf
https://hal.archives-ouvertes.fr/hal-01620150

Cluster categories for algebras of global dimension 2 and quivers with potential

Autor: Claire Amiot

Publikováno v: Annales de l’institut Fourier. 59:2525-2590

Let $k$ be a field and $A$ a finite-dimensional $k$-algebra of global dimension $\leq 2$. We construct a triangulated category $\Cc_A$ associated to $A$ which, if $A$ is hereditary, is triangle equivalent to the cluster category of $A$. When $\Cc_A$

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31de5f90e1df200d352c4db87e9d8e28
https://doi.org/10.5802/aif.2499