-Tilting Finite Algebras, Bricks, and -Vectors
L Demonet, O Iyama, G Jasso - … Mathematics Research Notices, 2019 - academic.oup.com
The class of support-tilting modules was introduced to provide a completion of the class of
tilting modules from the point of view of mutations. In this article, we study-tilting finite …
tilting modules from the point of view of mutations. In this article, we study-tilting finite …
Fans and polytopes in tilting theory I: Foundations
T Aoki, A Higashitani, O Iyama, R Kase… - arXiv preprint arXiv …, 2022 - arxiv.org
For a finite dimensional algebra $ A $ over a field $ k $, the 2-term silting complexes of $ A $
gives a simplicial complex $\Delta (A) $ called the\emph {$ g $-simplicial complex}. We give …
gives a simplicial complex $\Delta (A) $ called the\emph {$ g $-simplicial complex}. We give …
[PDF][PDF] On the lattice of cotilting modules.
Let Capital Lambda be an associative ring period.. In this note we show that the collection of
open parenthesis not necessarily finitely generated closing parenthesis cotilting modules …
open parenthesis not necessarily finitely generated closing parenthesis cotilting modules …
[PDF][PDF] τ-rigid finite algebras and g-vectors
L Demonet, O Iyama, G Jasso - arXiv preprint arXiv:1503.00285, 2015 - researchgate.net
The class of support τ-tilting modules was introduced recently by Adachi-Iyama-Reiten so as
to provide a completion of the class of tilting modules from the point of view of mutations. In …
to provide a completion of the class of tilting modules from the point of view of mutations. In …
Limits of pure-injective cotilting modules
The set of pure-injective cotilting modules over an artin algebra is shown to have a monoid
structure. This monoid structure does not restrict down to a monoid structure on the finitely …
structure. This monoid structure does not restrict down to a monoid structure on the finitely …
10 Combinatorial aspects of the set of tilting modules Luise Unger
L Unger - Handbook of tilting theory, 2007 - books.google.com
10 Combinatorial aspects of the set of tilting modules Luise Unger Page 267 10 Combinatorial
aspects of the set of tilting modules Luise Unger 1 Introduction Let A be a basic artin algebra …
aspects of the set of tilting modules Luise Unger 1 Introduction Let A be a basic artin algebra …
Positive cluster complexes and τ-tilting simplicial complexes of cluster-tilted algebras of finite type
Y Gyoda - Communications in Algebra, 2023 - Taylor & Francis
In this study, we consider the positive cluster complex, a full subcomplex of a cluster
complex the vertices of which are all non-initial cluster variables. In particular, we provide a …
complex the vertices of which are all non-initial cluster variables. In particular, we provide a …
[图书][B] Encyclopaedia of mathematics, supplement III
SS Abhyankar, V Abramov, A Adem, L Aizenberg… - 2002 - Springer
The most practical method of finding the inverse Z-transform is the use of partial-fractions
techniques as illustrated by the following example. Example. See also [2]. Suppose the …
techniques as illustrated by the following example. Example. See also [2]. Suppose the …
12 Infinite dimensional tilting modules over finite dimensional algebras Øyvind Solberg
Ø Solberg - Handbook of Tilting Theory, 2007 - books.google.com
The theory for tilting and cotilting modules has its roots in the representation theory of finite
dimensional algebras (artin algebras) generalizing Morita equivalence and duality. First …
dimensional algebras (artin algebras) generalizing Morita equivalence and duality. First …
[引用][C] Combinatorics of Mutations in Representation Theory
MO Iyama - 2017 - University of Leeds