Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Thomas Brüstle"'
Publikováno v:
Linear Algebra and its Applications. 650:98-131
Motivated by problems in the neural networks setting, we study moduli spaces of double framed quiver representations and give both a linear algebra description and a representation theoretic description of these moduli spaces. We define a network cat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a0f9460ba6ddfb48d6a3535b82c99d8
https://doi.org/10.1016/j.laa.2022.05.018
https://doi.org/10.1016/j.laa.2022.05.018
Publikováno v:
Discrete Applied Mathematics. 291:223-236
The quadratic forms are algebraic expressions that have important role in different areas of computer science, mathematics, physics, statistics and others. We deal with quadratic forms that are widely used in the study of algebras with finite represe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbb79fb3f64dd1e3ae8166893f112fdf
https://doi.org/10.1016/j.dam.2020.12.008
https://doi.org/10.1016/j.dam.2020.12.008
Publikováno v:
Discrete Applied Mathematics. 253:61-72
The units forms are algebraic expressions that have important role in representation theory of algebras. We identified that existing algorithms have exponential time complexity for weakly nonnegative and weakly positive types. In this paper we introd
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::648db9e0273a294589a400afa387f3f8
https://doi.org/10.1016/j.dam.2018.06.018
https://doi.org/10.1016/j.dam.2018.06.018
We initiate in this article the study of weakly exact structures, a generalization of Quillen exact structures. We introduce weak counterparts of one-sided exact structures and show that a left and a right weakly exact structure generate a weakly exa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f079fcca944556f2fbdd93fdc1ed22b2
Publikováno v:
Journal of Pure and Applied Algebra. 225:106724
We investigate how the concepts of intersection and sums of subobjects carry to exact categories. We obtain a new characterisation of quasi-abelian categories in terms of admitting admissible intersections in the sense of [23] . There are also many a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48a91c83c8bc85f271db3a2568d508f4
https://doi.org/10.1016/j.jpaa.2021.106724
https://doi.org/10.1016/j.jpaa.2021.106724
Publikováno v:
Journal of Algebra. 473:80-109
We use semi-invariant pictures to prove two conjectures about maximal green sequences. First: if $Q$ is any acyclic valued quiver with an arrow $j\to i$ of infinite type then any maximal green sequence for $Q$ must mutate at $i$ before mutating at $j
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::546335967f397db25abb9dfc7adc2f41
https://doi.org/10.1016/j.jalgebra.2016.10.025
https://doi.org/10.1016/j.jalgebra.2016.10.025
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:
Electronic Notes in Discrete Mathematics. 55:203-206
In this paper we introduce a polynomial algorithm for the recognition of weakly nonnegative unit forms. The algorithm identify hypercritical restrictions testing every 9-point subset of the quadratic form associated graph. With Depth First Search str
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0258dbde1e111bad140e9c839eca0f3b
https://doi.org/10.1016/j.endm.2016.10.050
https://doi.org/10.1016/j.endm.2016.10.050
Publikováno v:
Journal of Pure and Applied Algebra. 224:106212
Examples of exact categories in representation theory are given by the category of Delta-filtered modules over quasi-hereditary algebras, but also by various categories related to matrix problems, such as poset representations or representations of b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f65770623b0d7940cd2b48ba79d19ef
https://doi.org/10.1016/j.jpaa.2019.106212
https://doi.org/10.1016/j.jpaa.2019.106212
Autor:
Jie Zhang, Thomas Brüstle
We consider the polytope arising from a marked surface by flips of triangulations. Sleator, Tarjan and Thurston studied in 1988 the diameter of the associahedron, which is the polytope arising from a marked disc by flips of triangulations. They showe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af783c37b4ac628eb0f0473a1fb171c1
http://arxiv.org/abs/1801.09501
http://arxiv.org/abs/1801.09501