[图书][B] Triangulated categories in the representation theory of finite dimensional algebras
D Happel - 1988 - books.google.com
This book is an introduction to the use of triangulated categories in the study of
representations of finite-dimensional algebras. In recent years representation theory has …
representations of finite-dimensional algebras. In recent years representation theory has …
[图书][B] Homological theory of representations
H Krause - 2021 - books.google.com
Modern developments in representation theory rely heavily on homological methods. This
book for advanced graduate students and researchers introduces these methods from their …
book for advanced graduate students and researchers introduces these methods from their …
[图书][B] Purity, spectra and localisation
M Prest - 2009 - books.google.com
It is possible to associate a topological space to the category of modules over any ring. This
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …
Semi‐invariants of quivers
A Schofield - Journal of the London Mathematical Society, 1991 - Wiley Online Library
Let Q be a quiver without oriented cycles and let α be a dimension vector such that Gl (α)
has an open orbit on the representation space R (α). We find representations {Si} and …
has an open orbit on the representation space R (α). We find representations {Si} and …
[HTML][HTML] Homological theory of recollements of abelian categories
C Psaroudakis - Journal of Algebra, 2014 - Elsevier
We investigate several homological aspects of recollements of abelian categories. In
particular, we study how various homological invariants and dimensions of the categories …
particular, we study how various homological invariants and dimensions of the categories …
Reduction of τ-tilting modules and torsion pairs
G Jasso - International Mathematics Research Notices, 2015 - academic.oup.com
The class of support-tilting modules was introduced recently by Adachi et al. These modules
complete the class of tilting modules from the point of view of mutations. Given a finite …
complete the class of tilting modules from the point of view of mutations. Given a finite …
Semibricks
S Asai - International Mathematics Research Notices, 2020 - academic.oup.com
In representation theory of finite-dimensional algebras,(semi) bricks are a generalization of
(semi) simple modules, and they have long been studied. The aim of this paper is to study …
(semi) simple modules, and they have long been studied. The aim of this paper is to study …
Compact corigid objects in triangulated categories and co-t-structures
D Pauksztello - Open Mathematics, 2008 - degruyter.com
In the work of Hoshino, Kato and Miyachi, 11, the authors look at t-structures induced by a
compact object, C, of a triangulated category, T, which is rigid in the sense of Iyama and …
compact object, C, of a triangulated category, T, which is rigid in the sense of Iyama and …
[图书][B] Derived equivalences for group rings
S König, A Zimmermann - 2006 - books.google.com
A self-contained introduction is given to J. Rickard's Morita theory for derived module
categories and its recent applications in representation theory of finite groups. In particular …
categories and its recent applications in representation theory of finite groups. In particular …
Matrix Factorizations and Representations of Quivers II: type ADE case
H Kajiura, K Saito, A Takahashi - Advances in mathematics, 2007 - Elsevier
We study a triangulated category of graded matrix factorizations for a polynomial of type
ADE. We show that it is equivalent to the derived category of finitely generated modules over …
ADE. We show that it is equivalent to the derived category of finitely generated modules over …