Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Toshiya Yurikusa"'
Publikováno v:
International Mathematics Research Notices. 2023:3598-3600
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62b5a4b96411c5d3c1ebc809cd433d43
https://doi.org/10.1093/imrn/rnab210
https://doi.org/10.1093/imrn/rnab210
Publikováno v:
International Mathematics Research Notices. 2023:2701-2747
The $\textbf{g}$-vector fan of a finite-dimensional algebra is a fan whose rays are the $\textbf{g}$-vectors of its two-term presilting objects. We prove that the $\textbf{g}$-vector fan of a tame algebra is dense. We then apply this result to obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f31375f05fda55233e568c0e6d9f7e0
https://doi.org/10.1093/imrn/rnab105
https://doi.org/10.1093/imrn/rnab105
Publikováno v:
International Mathematics Research Notices, rnac205
In the present paper, we first give a characterization for Bongartz completion in $\tau$-tilting theory via $c$-vectors. Motivated by this characterization, we give the definition of Bongartz completion in cluster algebras using $c$-vectors. Then we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b66c9f9b9cf8bd14faf59e239a548e9
http://arxiv.org/abs/2106.11668
http://arxiv.org/abs/2106.11668
Autor:
Toshiya Yurikusa
Publikováno v:
Algebras and Representation Theory. 22:1-19
The aim of this paper is to give analogs of the cluster expansion formula of Musiker and Schiffler for cluster algebras of type A with coefficients arising from boundary arcs of the corresponding triangulated polygon. Indeed, we give three cluster ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f601cafd4db2c0599d1c06cc53ff508d
https://doi.org/10.1007/s10468-017-9755-3
https://doi.org/10.1007/s10468-017-9755-3
Autor:
Toshitaka Aoki, Toshiya Yurikusa
The $g$-vectors of two-term presilting complexes are important invariants. We study a fan consisting of all $g$-vector cones for a complete gentle algebra. We show that any complete gentle algebra is $g$-tame, by definition, the closure of a geometri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9aeb590adc661ba0a25168b03620848
Autor:
Yasuaki Gyoda, Toshiya Yurikusa
For a given marked surface $(S,M)$ and a fixed tagged triangulation $T$ of $(S,M)$, we show that each tagged triangulation $T'$ of $(S,M)$ is uniquely determined by the intersection numbers of tagged arcs of $T$ and tagged arcs of $T'$. As consequenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b14715913cd82275aac6c8826db3ca7d
Autor:
Toshiya Yurikusa
We study $g$-vector cones associated with clusters of cluster algebras defined from a marked surface $(S,M)$ of rank $n$. We determine the closure of the union of $g$-vector cones associated with all clusters. It is equal to $\mathbb{R}^n$ except for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76276a370227d03ad6863af230d8bc51
Autor:
Toshiya Yurikusa
We give a cluster expansion formula for cluster algebras with principal coefficients defined from triangulated surfaces in terms of perfect matchings of angles. Our formula simplifies the cluster expansion formula given by Musiker-Schiffler-Williams
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd3e5ba335f516a4495a582865163534
Autor:
Toshiya Yurikusa
For an arbitrary finite dimensional algebra $\Lambda$, we prove that any wide subcategory of $\mathsf{mod} \Lambda$ satisfying a certain finiteness condition is $\theta$-semistable for some stability condition $\theta$. More generally, we show that w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54bad23f38a00e375b74fc97abfecc06