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|Title:||Beyond Rouquier partitions|
|Source:||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|
|Appears in Collections:||Staff Publications|
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