-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 …

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 …

[PDF][PDF] On the lattice of cotilting modules.

AB Buan, H Krause, Ø Solberg - AMA. Algebra Montpellier …, 2002 - eudml.org
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 …

[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 …

Limits of pure-injective cotilting modules

AB Buan, Ø Solberg - Algebras and representation theory, 2005 - Springer
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 …

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 …

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 …

[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 …

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 …

[引用][C] Combinatorics of Mutations in Representation Theory

MO Iyama - 2017 - University of Leeds