On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type
type: Item
instance of: scholarly article
title: On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type
zbMATH Open document ID: 0832.16010
DOI: 10.1016/0022-4049(94)90056-6
author: Stephen Donkin
author: Idun Reiten
published in: Journal of Pure and Applied Algebra
publication date: 1995-02-28T00:00:00Z
review text: [For parts III and IV see the first author's papers reviewed in Zbl 0832.20012 and Zbl 0832.20013.] In dieser Arbeit wird die Struktur der darstellungsendlichen quasi- erblichen Algebren mit einer Dualität, die die einfachen Moduln fixiert, durch Köcher mit Relationen vollständig dargestellt. Das Ergebnis hat eine wichtige Anwendung auf die Schur-Algebren, nämlich die Struktur der darstellungsendlichen Blöcke der Schur-Algebra wird auf diese Weise bestimmt. Ein Teil des Ergebnisses wurde auch von \textit{C. C. Xi} [J. Reine Angew. Math. 449, 201-215 (1994; Zbl 0796.16012)] unabhängig gezeigt. Eine Diskussion vom Darstellungstyp der Schur- Algebren kann man auch in den Arbeiten [\textit{K. Erdmann}, Q. J. Math., Oxf. II. Ser. 44, 17-41 (1993; Zbl 0832.16011)] und [\textit{C. C. Xi}, J. Pure Appl. Algebra 84, 73-84 (1993; Zbl 0795.16010)] sehen.
Mathematics Subject Classification ID: 16G60
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 16G20
zbMATH DE Number: 727070
zbMATH Keywords: Schur algebras
zbMATH Keywords: quasi-hereditary algebras
zbMATH Keywords: duality
zbMATH Keywords: representation finite algebras
zbMATH Keywords: quivers with relations
zbMATH Keywords: blocks
Wikidata QID: Q105553916
reviewed by: Changchang Xi
MaRDI profile type: Publication
full work available at URL: 0022-4049(94)90056-6
OpenAlex ID: W2020154825
cites work: Q4097440
cites work: Critical simply connected algebras
cites work: A criterion for finite representation type
cites work: Q4128999
cites work: On the modular representations of the general linear and symmetric groups
cites work: Ext1for sl2
cites work: Q3804882
cites work: Q4028607
cites work: The blocks of a semisimple algebraic group
cites work: A filtration for rational modules
cites work: Finite resolutions of modules for reductive algebraic groups
cites work: Rational representations of algebraic groups: Tensor products and filtrations
cites work: On Schur algebras and related algebras. I
cites work: On Schur algebras and related algebras. II
cites work: On Schur algebras and related algebras. IV: The blocks of the Schur algebras
cites work: On tilting modules for algebraic groups
cites work: SCHUR ALGEBRAS OF FINITE TYPE
cites work: Polynomial representations of \(GL_n\)
cites work: Minimal algebras of infinite representation type with preprojective component
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Q4217857
cites work: Blocks and indecomposable modules for semisimple algebraic groups
cites work: Auslander algebras Of finite representation type
cites work: BGG algebras and the BGG reciprocity principle
cites work: On the decomposition matrices of the symmetric groups. III
cites work: Q3952291
cites work: Q3752572
cites work: Q3947818
cites work: The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
cites work: Linear algebraic groups
cites work: On the decomposition of modular tensors. I, II
cites work: Tame biserial algebras
cites work: The Structure of Schur Algebras Sk(n, p) for n ≥ p
cites work: Q4285772
description: scientific article; zbMATH DE number 727070