Subspace categories as categories of good modules over quasi-hereditary algebras
type: Item
instance of: scholarly article
title: Subspace categories as categories of good modules over quasi-hereditary algebras
zbMATH Open document ID: 0815.16005
DOI: 10.1007/BF01198665
author: Manfred Bauch
published in: Archiv der Mathematik
publication date: 1995-04-18T00:00:00Z
review text: Let \(({\mathcal K},|-|)\) be a finite directed vectorspace category. In the paper, an equivalence between the corresponding subspace category and the category of good modules over some quasi-hereditary algebra is given. As a consequence, the subspace category is determined by a (generalized) tilting/cotilting module, which is constructed explicitly. This generalizes a result by \textit{C. M. Ringel} [Tame algebras and integral quadratic forms (Lect. Notes Math. 1099, 1984; Zbl 0546.16013)].
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 743512
zbMATH Keywords: finite directed vectorspace categories
zbMATH Keywords: equivalences
zbMATH Keywords: categories of good modules
zbMATH Keywords: quasi-hereditary algebras
zbMATH Keywords: tilting modules
zbMATH Keywords: cotilting modules
MaRDI profile type: Publication
cites work: The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
full work available at URL: https://doi.org/10.1007/bf01198665
OpenAlex ID: W1979441293
description: scientific article; zbMATH DE number 743512