Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588802 | Journal of Algebra | 2007 | 9 Pages |
Abstract
Let F denote the Fock space representation of the quantum group . The ‘v-decomposition numbers’ are the coefficients when the canonical basis for this representation is expanded in terms of the basis of partitions, and the evaluations at v=1 of these polynomials give the decomposition numbers for Iwahori–Hecke algebras and q-Schur algebras over C. James and Mathas have proved a theorem which relates v-decomposition numbers for different values of e, by adding empty runners to the abacus displays for the labelling partitions. Here we prove a similar theorem, which involves adding ‘full’ runners to these abacus displays.
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