Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jalgebra.2008.09.016
Title: Beyond Rouquier partitions
Authors: Tan, K.M. 
Keywords: Decomposition numbers
Issue Date: 1-Jan-2009
Citation: Tan, K.M. (2009-01-01). Beyond Rouquier partitions. Journal of Algebra 321 (1) : 248-263. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jalgebra.2008.09.016
Abstract: We obtain closed formulas, in terms of Littlewood-Richardson coefficients, for the canonical basis elements of the Fock space representation of Uv (over(sl, ̂)e) which are labeled by partitions having 'locally small' e-quotients and arbitrary e-cores. We further show that upon evaluation at v = 1, this gives the corresponding decomposition numbers of the q-Schur algebra in characteristic l (where q is a primitive eth root of unity if l ≠ e and q = 1 otherwise) whenever l is greater than the size of each constituent of the e-quotient. © 2008 Elsevier Inc. All rights reserved.
Source Title: Journal of Algebra
URI: http://scholarbank.nus.edu.sg/handle/10635/102928
ISSN: 00218693
DOI: 10.1016/j.jalgebra.2008.09.016
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