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Bases canoniques d'espaces de Fock de niveau supérieur

Abstract : We compare the canonical bases of some higher-level Fock spaces. We give a variation of the Leclerc-Thibon algorithm in order to compute them. We give an expression for the derivative at q=1 of the transition matrices of these bases; by analogy with Jantzen sum formula, we set a conjecture for decomposition matrices of cyclotomic v-Schur algebras.
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https://tel.archives-ouvertes.fr/tel-00137705
Contributor : Xavier Yvonne <>
Submitted on : Wednesday, March 21, 2007 - 2:00:15 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
Long-term archiving on: : Wednesday, April 7, 2010 - 12:10:23 AM

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  • HAL Id : tel-00137705, version 1

Citation

Xavier Yvonne. Bases canoniques d'espaces de Fock de niveau supérieur. Mathématiques [math]. Université de Caen, 2005. Français. ⟨tel-00137705⟩

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