A construction of characteristic tilting modules
type: Item
instance of: scholarly article
title: A construction of characteristic tilting modules
zbMATH Open document ID: 1018.16011
author: Bangming Deng
publication date: 2002-10-29T00:00:00Z
review text: Given a finite directed quiver \(Q\), one can associate the so-called twisted double \({\mathcal A}(Q)\) of the path algebra \(kQ\). Since \({\mathcal A}(Q)\) is a quasi-hereditary algebra, it is natural to look for a description of its characteristic tilting module and for its Ringel dual (that is, the endomorphism algebra of this tilting module, which is again a quasi-hereditary algebra). In the paper under review, the author shows how to construct the characteristic tilting module for this case and describes its Ringel dual.
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 16E30
zbMATH DE Number: 1757453
zbMATH Keywords: quasi-hereditary algebras
zbMATH Keywords: tilting theory
zbMATH Keywords: characteristic tilting modules
zbMATH Keywords: Ringel duals
zbMATH Keywords: path algebras
zbMATH Keywords: finite quivers
reviewed by: Flávio U. Coelho
MaRDI profile type: Publication
full work available at URL: s101140100145
OpenAlex ID: W2354996443
cites work: The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
cites work: Strong symmetry defined by twisting modules, applied to quasi-hereditary algebras with triangular decomposition and vanishing radical cube
cites work: Quasi-hereditary algebras which are twisted double incidence algebras of posets
cites work: The \(\Delta\)-filtered modules without self-extensions for the Auslander algebra of \(k[T]/\langle T^n\rangle\)
cites work: Q4028607
cites work: BGG algebras and the BGG reciprocity principle
cites work: Q3804882
cites work: The representation theory of the Temperley-Lieb algebras
cites work: Exact Borel subalgebras of quasi-hereditary algebras. I. (With an appendix by Leonard Scott)
cites work: On the global dimension of quasi–hereditary algebras with triangular decomposition
cites work: Ringel duals of quasi-hereditary algebras
DOI: 10.1007/S101140100145
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 1757453