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 modules of tilted algebras and related topics

H Peng - 2022 - macau.uni-kiel.de
Tilting theory has been a central research topic in representation theory for a long time. Let Λ
be a hereditary algebra, T0 be a tilting Λ-module, B:= EndΛ (T0), then B is called a tilted …

[引用][C] The simplicial complex of tilting modules over quiver algebras

L Unger - Proceedings of the London Mathematical Society, 1996 - academic.oup.com
Let A=/cA be the path algebra of a finite, connected quiver A without oriented cycles. Here k
denotes an algebraically closed field. We denote the category of finite-dimensional A-left …

Almost complete tilting modules

D Happel, L Unger - Proceedings of the American Mathematical Society, 1989 - ams.org
Let $ A $ be a finite-dimensional hereditary algebra over an algebraically closed field. All
modules will be finite-dimensional left $ A $-modules. We are concerned with partial tilting …

[引用][C] The regular components of the Auslander-Reiten quiver of a tilted algebra

CM Ringel - Chinese Annals of Mathematics, B, 1988 - pub.uni-bielefeld.de
Let B be a connected finite-dimensional hereditary algebra of inflnite representation type. It
is shown that there exists a regular tilting B-module if and only if B is wild and has at least …

Separating splitting tilting modules and hereditary algebras

I Assem - Canadian Mathematical Bulletin, 1987 - cambridge.org
Let A be a finite-dimensional algebra over an algebraically closed field. By module is meant
a finitely generated right module. A module T^ is called a tilting module if and there exists an …

A note on wild quiver algebras and tilting modules

D Baer - Communications in Algebra, 1989 - Taylor & Francis
Tilting procedures are a well-known instrument in order to construct from a given finite
dimensional algebra A new algebras with related representation theory (compare [4],[7],[3]); …

[PDF][PDF] On the genus of the graph of tilting modules.

L Unger, M Ungruhe - Beiträge zur Algebra und Geometrie, 2004 - eudml.org
On the Genus of the Graph of Tilting Modules Page 1 <noindent Beitr $ <ddot1al $ ge zur
Algebra und Geometrie <noindent Contributions to Algebra and Geometry <noindent Volume …

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 …

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 …