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Article: Duality for Ext-groups and extensions of discrete series for graded Hecke algebras

TitleDuality for Ext-groups and extensions of discrete series for graded Hecke algebras
Authors
Chan, Kei Yuen
KeywordsDiscrete series
Extensions
Graded Hecke algebras
Indecomposable modules
Issue Date2016
Citation
Advances in Mathematics, 2016, v. 294, p. 410-453 How to Cite?
DOI: http://dx.doi.org/10.1016/j.aim.2016.03.002
AbstractIn this paper, we study extensions of graded affine Hecke algebra modules. In particular, based on an explicit projective resolution on graded affine Hecke algebra modules, we prove a duality result for Ext-groups. This duality result with an Ind-Res resolution gives an algebraic proof of the fact that all higher Ext-groups between a tempered module and a discrete series vanish.
Persistent Identifierhttp://hdl.handle.net/10722/327088
ISSN
0001-8708
2023 Impact Factor: 1.5
2023 SCImago Journal Rankings: 2.022
ISI Accession Number ID
WOS:000374207300009

 

DC FieldValueLanguage
dc.contributor.authorChan, Kei Yuen-
dc.date.accessioned2023-03-31T05:28:43Z-
dc.date.available2023-03-31T05:28:43Z-
dc.date.issued2016-
dc.identifier.citationAdvances in Mathematics, 2016, v. 294, p. 410-453-
dc.identifier.issn0001-8708-
dc.identifier.urihttp://hdl.handle.net/10722/327088-
dc.description.abstractIn this paper, we study extensions of graded affine Hecke algebra modules. In particular, based on an explicit projective resolution on graded affine Hecke algebra modules, we prove a duality result for Ext-groups. This duality result with an Ind-Res resolution gives an algebraic proof of the fact that all higher Ext-groups between a tempered module and a discrete series vanish.-
dc.languageeng-
dc.relation.ispartofAdvances in Mathematics-
dc.subjectDiscrete series-
dc.subjectExtensions-
dc.subjectGraded Hecke algebras-
dc.subjectIndecomposable modules-
dc.titleDuality for Ext-groups and extensions of discrete series for graded Hecke algebras-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.aim.2016.03.002-
dc.identifier.scopuseid_2-s2.0-84960349086-
dc.identifier.volume294-
dc.identifier.spage410-
dc.identifier.epage453-
dc.identifier.eissn1090-2082-
dc.identifier.isiWOS:000374207300009-

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