Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Claire Amiot"'
Publikováno v:
Communications in Algebra. 49:114-150
For algebras of global dimension 2 arising from a cut of the quiver with potential associated with a triangulation of an unpunctured surface, Amiot-Grimeland defined integer-valued functions on the...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b26ede6ea7da9a247016dcefae0b60d7
https://doi.org/10.1080/00927872.2020.1797066
https://doi.org/10.1080/00927872.2020.1797066
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
https://doi.org/10.5802/wbln.21
Autor:
Claire Amiot, Thomas Brüstle
Skew-gentle algebras are skew-group algebras of gentle algebras equipped with a certain $\Z_2$-action. Building on the bijective correspondence between gentle algebras and dissected surfaces, we obtain in this paper a bijection between skew-gentle al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ea092180d9e157f50f98e942ad8568d
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
https://doi.org/10.1353/ajm.2015.0019
Autor:
Steffen Oppermann, Claire Amiot
Publikováno v:
Nagoya Mathematical Journal. 211:1-50
In this paper, we study algebras of global dimension at most 2 whose generalized cluster category is equivalent to the cluster category of an acyclic quiver which is either a tree or of type Ã. We are particularly interested in their derived equival
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d92aa407dd2255f00464885c09beb072
https://doi.org/10.1215/00277630-2083124
https://doi.org/10.1215/00277630-2083124
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⟩
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
https://hal.archives-ouvertes.fr/hal-01620150
Autor:
Yvonne Grimeland, Claire Amiot
Publikováno v:
Journal of Pure and Applied Algebra
Journal of Pure and Applied Algebra, Elsevier, 2016, 220 (9), pp.3133-3155. ⟨10.1016/j.jpaa.2016.02.008⟩
Journal of Pure and Applied Algebra, Elsevier, 2016, 220 (9), pp.3133-3155. ⟨10.1016/j.jpaa.2016.02.008⟩
In this paper we study the derived equivalences between surface algebras, introduced by David-Roesler and Schiffler. Each surface algebra arises from a cut of an ideal triangulation of an unpunctured marked Riemann surface with boundary. A cut can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d786c2ae1cb86886a9f57b99c523d9e3
https://hal.archives-ouvertes.fr/hal-01620155
https://hal.archives-ouvertes.fr/hal-01620155
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
https://doi.org/10.5802/aif.2499
Autor:
Steffen Oppermann, Claire Amiot
Publikováno v:
Mathematical Research Letters
Mathematical Research Letters, 2014, 21 (4), pp.617-647
Mathematical Research Letters, 2014, 21 (4), pp.617-647
In this paper, we give sufficient properties for a finite dimensional graded algebra to be a higher preprojective algebra. These properties are of homological nature, they use Gorensteiness and bimodule isomorphisms in the stable category of Cohen-Ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf1bdf109b8c5bb8c4589e3c51c31d83
https://hal.archives-ouvertes.fr/hal-00847027
https://hal.archives-ouvertes.fr/hal-00847027
Autor:
Claire Amiot, Steffen Oppermann
Publikováno v:
International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), 2012, 2013 (4), pp.733-760. ⟨10.1093/imrn/rns010⟩
International Mathematics Research Notices, Oxford University Press (OUP), 2013, ⟨10.1093/imrn/rns010⟩
International Mathematics Research Notices, Oxford University Press (OUP), 2012, 2013 (4), pp.733-760. ⟨10.1093/imrn/rns010⟩
International Mathematics Research Notices, Oxford University Press (OUP), 2013, ⟨10.1093/imrn/rns010⟩
Cluster categories of hereditary algebras have been introduced as orbit categories of their derived categories. Keller has pointed out that for non-hereditary algebras orbit categories need not be triangulated, and he introduced the notion of triangu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4080d2e49a4b02e41df55c57eac492f
https://hal.archives-ouvertes.fr/hal-01293781
https://hal.archives-ouvertes.fr/hal-01293781