Carter-Payne homomorphisms for Hecke algebras
Duration: 1 hour 26 secs
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About this item
| Description: |
Mathas, A (Sydney)
Tuesday 16 June 2009, 15:15-16:15 |
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| Created: | 2009-06-24 11:24 | ||||
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| Collection: | Algebraic Lie Theory | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Mathas, A | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | In a famous paper Carter and Payne, building on work of Carter and Lusztig, constructed a family of homomorphisms between different Specht modules and Weyl modules of the symmetric and general linear groups, respectively. In a few special cases these maps have been generalised to give corresponding maps between the q-analogues of the Specht modules and Weyl modules, however, the full q-analogue of Carter-Payne remains open. In this talk I will describe an q-analogue of the Carter-Payne maps which are indexed by partitions with "large gaps". If time permits I will also describe how to lift Carter-Payne maps to the graded setting. This is joint work with Sinead Lyle. |
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