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- Publisher Website: 10.1007/s10468-017-9742-8
- Scopus: eid_2-s2.0-85034624049
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Article: Some Methods of Computing First Extensions Between Modules of Graded Hecke Algebras
Title | Some Methods of Computing First Extensions Between Modules of Graded Hecke Algebras |
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Authors | |
Keywords | Extensions Filtrations Graded Hecke algebras Standard modules |
Issue Date | 2018 |
Citation | Algebras and Representation Theory, 2018, v. 21, n. 4, p. 859-895 How to Cite? |
Abstract | In this paper, we establish connections between the first extensions of simple modules and certain filtrations of of standard modules in the setting of graded Hecke algebras. The filtrations involved are radical filtrations and Jantzen filtrations. Our approach involves the use of information from the Langlands classification as well as some deeper understanding on some structure of some modules. Such module arises from the image of a Knapp-Stein type intertwining operator and is a quotient of a generalized standard module. As an application, we compute the Ext-groups for irreducible modules in a block for the graded Hecke algebra of type C3, assuming the truth of a version of Jantzen conjecture. |
Persistent Identifier | http://hdl.handle.net/10722/327161 |
ISSN | 2023 Impact Factor: 0.5 2023 SCImago Journal Rankings: 0.730 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chan, Kei Yuen | - |
dc.date.accessioned | 2023-03-31T05:29:24Z | - |
dc.date.available | 2023-03-31T05:29:24Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Algebras and Representation Theory, 2018, v. 21, n. 4, p. 859-895 | - |
dc.identifier.issn | 1386-923X | - |
dc.identifier.uri | http://hdl.handle.net/10722/327161 | - |
dc.description.abstract | In this paper, we establish connections between the first extensions of simple modules and certain filtrations of of standard modules in the setting of graded Hecke algebras. The filtrations involved are radical filtrations and Jantzen filtrations. Our approach involves the use of information from the Langlands classification as well as some deeper understanding on some structure of some modules. Such module arises from the image of a Knapp-Stein type intertwining operator and is a quotient of a generalized standard module. As an application, we compute the Ext-groups for irreducible modules in a block for the graded Hecke algebra of type C3, assuming the truth of a version of Jantzen conjecture. | - |
dc.language | eng | - |
dc.relation.ispartof | Algebras and Representation Theory | - |
dc.subject | Extensions | - |
dc.subject | Filtrations | - |
dc.subject | Graded Hecke algebras | - |
dc.subject | Standard modules | - |
dc.title | Some Methods of Computing First Extensions Between Modules of Graded Hecke Algebras | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s10468-017-9742-8 | - |
dc.identifier.scopus | eid_2-s2.0-85034624049 | - |
dc.identifier.volume | 21 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 859 | - |
dc.identifier.epage | 895 | - |
dc.identifier.eissn | 1572-9079 | - |
dc.identifier.isi | WOS:000438430200010 | - |