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| Detailed view | Preprint, Working Paper, ... |
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| Available versions: | v1 (2005-04-26) | v2 (2005-09-28) | v3 (2005-10-19) |
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| Geometric lifting of the canonical basis and semitoric degenerations of Richardson varieties |
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| Sophie Morier-Genoud1 |
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| In the sl_n case, A. Berenstein and A. Zelevinsky studied the Schützenberger involution in terms of Lusztig's canonical basis, [3]. We generalize their construction and formulas for any semisimple Lie algebra. We use for this the geometric lifting of the canonical basis, on which an analogue of the Schützenberger involution can be given. As an application, we construct semitoric degenerations of Richardson varieties, following a method of P. Caldero, [6] |
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| 1: | ICJ - Institut Camille Jordan |
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| canonical basis – Richardson varieties – geometric lifting – toric degeneration – tropicalization |
| hal-00004804, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00004804 | |
| oai:hal.archives-ouvertes.fr:hal-00004804 | |
| From: Sophie Morier-Genoud | |
| Submitted on: Tuesday, 26 April 2005 17:41:57 | |
| Updated on: Tuesday, 26 April 2005 17:47:06 | |
