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|Title:||Sign sequences and decomposition numbers||Authors:||Tan, K.M.
|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. https://doi.org/10.1090/S0002-9947-2013-05860-6||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||URI:||http://scholarbank.nus.edu.sg/handle/10635/104111||ISSN:||00029947||DOI:||10.1090/S0002-9947-2013-05860-6|
|Appears in Collections:||Staff Publications|
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