Tilting modules over tame hereditary algebras

L Angeleri Hügel, J Sánchez - Journal für die reine und angewandte …, 2013 - degruyter.com
We give a complete classification of the infinite dimensional tilting modules over a tame
hereditary algebra R. We start our investigations by considering tilting modules of the form …

Large tilting modules and representation type

L Angeleri Hügel, O Kerner, J Trlifaj - manuscripta mathematica, 2010 - Springer
We study finiteness conditions on large tilting modules over arbitrary rings. We then turn to a
hereditary artin algebra R and apply our results to the (infinite dimensional) tilting module L …

Tilted algebras

D Happel, CM Ringel - Transactions of the American Mathematical Society, 1982 - ams.org
Let $ A $ be a finite dimensional hereditary algebra over a field, with $ n $ simple $ A $-
modules. An $ A $-module $ T_A $ with $ n $ pairwise nonisomorphic indecomposable …

Baer and Mittag-Leffler modules over tame hereditary algebras

L Angeleri Hügel, D Herbera, J Trlifaj - Mathematische Zeitschrift, 2010 - Springer
We develop a structure theory for two classes of infinite dimensional modules over tame
hereditary algebras: the Baer modules, and the Mittag-Leffler ones. A right R-module M is …

Constructing tilting modules

O Kerner, J Trlifaj - Transactions of the American Mathematical Society, 2008 - ams.org
We investigate the structure of (infinite dimensional) tilting modules over hereditary artin
algebras. For connected algebras of infinite representation type with Grothendieck group of …

Links of faithful partial tilting modules

D Happel, L Unger - Algebras and representation theory, 2010 - Springer
For a basic, hereditary, finite dimensional algebra Λ over an algebraically closed field k we
consider the quiver \mathcalK\!_Λ of tilting modules and the subquivers of \mathcalK\!_Λ …

[PDF][PDF] Tilting theory and quasitilted algebras

I Reiten - Proceedings of the International Congress of …, 1998 - Citeseer
Tilting theory is a central topic in the representation theory of artin algebras, with origins in
work of Bernstein {Gelfand {Ponomarev from the early seventies. There has been extensive …

Construction of tilted algebras

D Happel, CM Ringel - Representations of Algebras: Proceedings of the …, 2006 - Springer
A), where TA is a tilting module, with A a finite dimensional hereditary algebra, are called the
tilted algebras. The main interest in tilted algebras comes from the fact that any finite …

Recollements induced from tilting modules over tame hereditary algebras

H Chen, C Xi - Forum Mathematicum, 2015 - degruyter.com
In this paper, we consider the endomorphism algebra of an infinitely generated tilting
module of the form R 𝒰⊕ R 𝒰/R over a tame hereditary k-algebra R with k an arbitrary field …

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 …