General runner removal and the Mullineux map
arXiv:0712.2390 · doi:10.1016/j.jalgebra.2009.09.027
Abstract
We prove a new `runner removal theorem' for -decomposition numbers of the level 1 Fock space of type , generalising earlier theorems of James--Mathas and the author. By combining this with another theorem relating to the Mullineux map, we show that the problem of finding all -decomposition numbers indexed by partitions of a given weight is a finite computation.
40 pages