A lifting theorem with applications to blocks and source algebras
type: Item
instance of: scholarly article
title: A lifting theorem with applications to blocks and source algebras
zbMATH Open document ID: 0969.20007
author: Burkhard Külshammer
author: Tetsuro Okuyama
author: Atumi Watanabe
published in: Journal of Algebra
publication date: 2001-06-19T00:00:00Z
review text: The authors give a lifting theorem for algebras over a discrete valuation ring, similar in spirit to the Wedderburn-Malcev theorem. It is applied to problems about blocks and source algebras. In particular, a new proof of Puig's main theorem on nilpotent blocks is obtained.
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C10
zbMATH DE Number: 1539389
zbMATH Keywords: lifting theorems
zbMATH Keywords: nilpotent blocks
zbMATH Keywords: source algebras
reviewed by: William H. Gustafson
MaRDI profile type: Publication
full work available at URL: jabr.2000.8403
OpenAlex ID: W2082605461
cites work: Characters and local structure in G-algebras
cites work: Relative local control and the block source algebras
cites work: Integrations and cohomology theory
cites work: Q3999615
cites work: A character correspondence for twisted group algebras
cites work: Nilpotent blocks and their source algebras
cites work: Q4290779
cites work: Q4846455
DOI: 10.1006/JABR.2000.8403
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description: scientific article; zbMATH DE number 1539389