Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Daniel Labardini-Fragoso"'
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
Publikováno v:
Journal of Algebra. 520:90-135
We realize a family of generalized cluster algebras as Caldero–Chapoton algebras of quivers with relations. Each member of this family arises from an unpunctured polygon with one orbifold point of order 3, and is realized as a Caldero–Chapoton al
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https://explore.openaire.eu/search/publication?articleId=doi_________::c4fc1275dc1381a8c3407b08ad1f0c0a
https://doi.org/10.1016/j.jalgebra.2018.11.012
https://doi.org/10.1016/j.jalgebra.2018.11.012
We study the affine schemes of modules over gentle algebras. We describe the smooth points of these schemes, and we also analyze their irreducible components in detail. Several of our results generalize formerly known results, e.g. by dropping acycli
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aaa7bbc2971e6278cda411b874cf4b54
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 Gr\"obner basis theory, we show that these algebras are Koszul and that the Koszul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee27e6418040be05e1e8b6196b84f322
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 22:47-115
Motivated by the mutation theory of quivers with potentials developed by Derksen–Weyman–Zelevinsky, and the representation-theoretic approach to cluster algebras it provides, we propose a mutation theory of species with potentials for species tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f60be55b18a6a7a32d39b3b5ed952951
https://doi.org/10.1007/s40590-015-0063-9
https://doi.org/10.1007/s40590-015-0063-9
Autor:
Daniel Labardini-Fragoso, Jan Geuenich
Let $\mathbf{\Sigma}=(\Sigma,M,O)$ be a surface with marked points and order-2 orbifold points which is either unpunctured or once-punctured closed, and $\omega:O\rightarrow\{1,4\}$ a function. For each triangulation $\tau$ of $\mathbf{\Sigma}$ we co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08993e89376f492452642e1ca66693bb
http://arxiv.org/abs/1611.08301
http://arxiv.org/abs/1611.08301
Publikováno v:
Compositio Mathematica. 148:1833-1866
To each tagged triangulation of a surface with marked points and non-empty boundary we associate a quiver with potential, in such a way that whenever we apply a flip to a tagged triangulation, the Jacobian algebra of the QP associated to the resultin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a9e61bfdc6627f8af0175d91c5c3823
https://doi.org/10.1112/s0010437x12000528
https://doi.org/10.1112/s0010437x12000528
Autor:
Daniel Labardini-Fragoso, Jan Geuenich
We present a definition of mutations of species with potential that can be applied to the species realizations of any skew-symmetrizable matrix B over cyclic Galois extensions E/F whose base field F has a primitive [E:F]-th root of unity. After provi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec97239cbb78f03e90c2e32d9404b404
http://arxiv.org/abs/1507.04304
http://arxiv.org/abs/1507.04304
We show that the representation type of the Jacobian algebra P(Q,S) associated to a 2-acyclic quiver Q with non-degenerate potential S is invariant under QP-mutations. We prove that, apart from very few exceptions, P(Q,S) is of tame representation ty
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f7a122e17dc145ad86ab71dd6b6ebbf7
http://arxiv.org/abs/1308.0478
http://arxiv.org/abs/1308.0478