Koenig, Steffen (2010). Dominant Dimension and Almost Relatively True Versions of Schur's Theorem. Milan J. Math., 78 (2). S. 457 - 480. BASEL: SPRINGER BASEL AG. ISSN 1424-9294

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Abstract

Perhaps the most fundamental problems of representation theory are to classify and to describe irreducible (=simple) representations and to determine cohomology. It is crucial to develop techniques that allow to transfer information from some (known) cases to other (unknown) cases. A classical result of this kind, due to Schur, recently has been extended widely, and put into a general context. These modern 'relative' versions of Schur's result will be presented. Moreover, the theoretical background behind these results, and the crucial invariant controlling the existence and strength of such equivalences, will be explained, and illustrated by an explicit example. Finally, some open problems will be stated and discussed.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Koenig, SteffenUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-490880
DOI: 10.1007/s00032-010-0130-7
Journal or Publication Title: Milan J. Math.
Volume: 78
Number: 2
Page Range: S. 457 - 480
Date: 2010
Publisher: SPRINGER BASEL AG
Place of Publication: BASEL
ISSN: 1424-9294
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
HECKE ALGEBRAS; FILTRATION MULTIPLICITIES; REPRESENTATION TYPE; RINGEL DUALITY; MODULESMultiple languages
Mathematics, Applied; MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/49088

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