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pro vyhledávání: '"Treffinger, Hipolito"'
Autor:
Treffinger, Hipolito
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G1, Pp 15-19 (2023)
In this short note we construct two families of examples of large stratifying systems in module categories of algebras. The first examples consist on stratifying systems of infinite size in the module category of an algebra $A$. In the second family
Externí odkaz:
https://doaj.org/article/949df68cebf34598bde91f0a9f88916d
Autor:
Tattar, Aran, Treffinger, Hipolito
In this paper we show an explicit relation between chains of torsion classes and weak stability conditions over an abelian category. In particular, up to a natural equivalence, they coincide. We investigate topological properties of the space of chai
Externí odkaz:
http://arxiv.org/abs/2306.08589
The wall-and-chamber structure is a geometric invariant that can be associated to any algebra. In this notes we give the definition of this object and we explain its relationship with torsion classes and $\tau$-tilting theory.
Comment: These are
Comment: These are
Externí odkaz:
http://arxiv.org/abs/2302.12699
We show how the $\tau$-cluster morphism category may be defined in terms of the wall-and-chamber structure of an algebra. This geometric perspective leads to a simplified proof that the category is well-defined.
Comment: 20 pages, 5 figures. Com
Comment: 20 pages, 5 figures. Com
Externí odkaz:
http://arxiv.org/abs/2302.12217
Autor:
August, Jenny, Haugland, Johanne, Jacobsen, Karin M., Kvamme, Sondre, Palu, Yann, Treffinger, Hipolito
Let $\mathcal{A}$ be an abelian length category containing a $d$-cluster tilting subcategory $\mathcal{M}$. We prove that a subcategory of $\mathcal{M}$ is a $d$-torsion class if and only if it is closed under $d$-extensions and $d$-quotients. This g
Externí odkaz:
http://arxiv.org/abs/2301.10463
Autor:
Schroll, Sibylle, Tattar, Aran, Treffinger, Hipolito, Valdivieso, Yadira, Williams, Nicholas J.
The stability space of a module is the cone of vectors which make the module semistable. These cones are defined in terms of inequalities; in this paper we draw insights from considering the dual description in terms of non-negative linear spans. We
Externí odkaz:
http://arxiv.org/abs/2208.15000
The main theme of this paper is to study $\tau$-tilting subcategories in an abelian category $\mathscr{A}$ with enough projective objects. We introduce the notion of $\tau$-cotorsion torsion triples and show a bijection between the collection of $\ta
Externí odkaz:
http://arxiv.org/abs/2207.00457
In this paper we give a characterisation of trivial extension algebras in terms of quivers with relations. This result is based on a explicit description of the ideal of relations of the trivial extension of an algebra, given by the first author in t
Externí odkaz:
http://arxiv.org/abs/2206.04581
Autor:
Treffinger, Hipolito
Publikováno v:
In Journal of Pure and Applied Algebra January 2025 229(1)
Categorification of scattering amplitudes for planar Feynman diagrams in scalar field theories with a polynomial potential is reported. Amplitudes for cubic theories are directly written down in terms of projectives of hearts of intermediate $t$-stru
Externí odkaz:
http://arxiv.org/abs/2112.14288