| HAL: hal-00435938, version 3 |
| arXiv: 0911.5209 |
| Detailed view | Export this paper |
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| Available versions: | v1 (2009-11-27) | v2 (2009-12-03) | v3 (2010-05-31) |
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| Canonical bases and affine Hecke algebras of type B |
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| Michela Varagnolo 1Eric Vasserot 2 |
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| (2009-11-25) |
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| We prove a series of conjectures of Enomoto and Kashiwara on canonical bases and branching rules of affine Hecke algebras of type B. The main ingredient of the proof is a new graded Ext-algebra associated with quiver with involutions that we compute explicitly. |
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| 1: | Laboratoire d'Analyse, Géométrie et Modélisation (AGM) |
| CNRS : UMR8088 – Université de Cergy Pontoise | |
| 2: | Institut de Mathématiques de Jussieu (IMJ) |
| CNRS : UMR7586 – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot | |
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| UMR CNRS 8088 |
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| Subject | : | Mathematics/Representation Theory |
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| Attached file list to this document: | ||||||||||
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| hal-00435938, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00435938 | |
| oai:hal.archives-ouvertes.fr:hal-00435938 | |
| From: Michela Varagnolo | |
| Submitted on: Monday, 29 March 2010 13:52:20 | |
| Updated on: Monday, 31 May 2010 10:59:50 | |