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Factorization of the canonical bases for higher-level Fock spaces
Published online by Cambridge University Press: 20 June 2011
Abstract
The level l Fock space admits canonical bases and . They correspond to and -module structures. We establish that the transition matrices relating these two bases are unitriangular with coefficients in ℕ[v]. Restriction to the highest-weight modules generated by the empty l-partition then gives a natural quantization of a theorem by Geck and Rouquier on the factorization of decomposition matrices which are associated to Ariki–Koike algebras.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 1 , February 2012 , pp. 23 - 51
- Copyright
- Copyright © Edinburgh Mathematical Society 2011
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