Filtrations on projective modules for lwahori-Hecke algebras
We consider a generic Iwahori-Hecke algebra H-O associated with a finite Weyl group, defined over a suitable discrete valuation ring O. We define filtrations on H-O-modules in terms of Lusztig's a-function. For a projective module, we show that the quotients of this filtration are direct sums o...
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| Format: | Conference item |
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2001
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| author | Geck, M Rouquier, R |
| author_facet | Geck, M Rouquier, R |
| author_sort | Geck, M |
| collection | OXFORD |
| description | We consider a generic Iwahori-Hecke algebra H-O associated with a finite Weyl group, defined over a suitable discrete valuation ring O. We define filtrations on H-O-modules in terms of Lusztig's a-function. For a projective module, we show that the quotients of this filtration are direct sums of irreducible lattices. As an application, we prove refinements of the results on decomposition numbers obtained by the first named author in [4]. |
| first_indexed | 2024-03-07T02:00:36Z |
| format | Conference item |
| id | oxford-uuid:9d3d0ab6-1bb0-4435-8b73-936934e12b41 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:00:36Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:9d3d0ab6-1bb0-4435-8b73-936934e12b412022-03-27T00:41:27ZFiltrations on projective modules for lwahori-Hecke algebrasConference itemhttp://purl.org/coar/resource_type/c_5794uuid:9d3d0ab6-1bb0-4435-8b73-936934e12b41Symplectic Elements at Oxford2001Geck, MRouquier, RWe consider a generic Iwahori-Hecke algebra H-O associated with a finite Weyl group, defined over a suitable discrete valuation ring O. We define filtrations on H-O-modules in terms of Lusztig's a-function. For a projective module, we show that the quotients of this filtration are direct sums of irreducible lattices. As an application, we prove refinements of the results on decomposition numbers obtained by the first named author in [4]. |
| spellingShingle | Geck, M Rouquier, R Filtrations on projective modules for lwahori-Hecke algebras |
| title | Filtrations on projective modules for lwahori-Hecke algebras |
| title_full | Filtrations on projective modules for lwahori-Hecke algebras |
| title_fullStr | Filtrations on projective modules for lwahori-Hecke algebras |
| title_full_unstemmed | Filtrations on projective modules for lwahori-Hecke algebras |
| title_short | Filtrations on projective modules for lwahori-Hecke algebras |
| title_sort | filtrations on projective modules for lwahori hecke algebras |
| work_keys_str_mv | AT geckm filtrationsonprojectivemodulesforlwahoriheckealgebras AT rouquierr filtrationsonprojectivemodulesforlwahoriheckealgebras |