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Title: Sign sequences and decomposition numbers
Authors: Tan, K.M. 
Teo, W.H.
Issue Date: 2013
Citation: Tan, K.M.,Teo, W.H. (2013). Sign sequences and decomposition numbers. Transactions of the American Mathematical Society 365 (12) : 6385-6401. ScholarBank@NUS Repository.
Abstract: We obtain a closed formula for the ν-decomposition numbers dλμ(ν) arising from the canonical basis of the Fock space representation of Uν(sle), where the partition λ is obtained from μ by moving some nodes in its Young diagram, all of which have the same e-residue. We also show that when these ν-decomposition numbers are evaluated at ν = 1, we obtain the corresponding decomposition numbers for the Schur algebras and symmetric groups. © 2013 American Mathematical Society.
Source Title: Transactions of the American Mathematical Society
ISSN: 00029947
DOI: 10.1090/S0002-9947-2013-05860-6
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