Dominant dimension and almost relatively true versions of Schur's theorem.
type: Item
instance of: scholarly article
title: Dominant dimension and almost relatively true versions of Schur's theorem.
zbMATH Open document ID: 1237.20042
author: Steffen Koenig
published in: Milan Journal of Mathematics
publication date: 2011-10-13T00:00:00Z
review text: This is a survey article describing possibilities to pass some homological information via functors involved in generalizations of Schur-Weyl dualities. These possibilities are usually controlled by a homological invariant called `dominant dimension'. The paper introduces the reader to all concepts, describes various known results in the area and illustrates them by explicit examples.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 20G43
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 18E10
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16E65
Mathematics Subject Classification ID: 18G20
zbMATH DE Number: 5957907
zbMATH Keywords: Schur algebras
zbMATH Keywords: symmetric groups
zbMATH Keywords: Schur-Weyl dualities
zbMATH Keywords: diagram algebras
zbMATH Keywords: highest weight categories
zbMATH Keywords: dominant dimension
zbMATH Keywords: cohomology
MaRDI profile type: Publication
full work available at URL: s00032-010-0130-7
OpenAlex ID: W2080502993
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DOI: 10.1007/S00032-010-0130-7
description: scientific article; zbMATH DE number 5957907