General runner removal and the Mullineux map

JOURNAL OF ALGEBRA

卷:322

Article

Fayers, Matthew

关键词: q-decomposition numbers;    Abacus;    Mullineux map;   

DOI  :  10.1016/j.jalgebra.2009.09.027

来源: Elsevier

【 摘 要 】

We prove a new 'runner removal theorem' for q-decomposition numbers of the level 1 Fock space of type A(e-1)((1)), 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 q-decomposition numbers indexed by partitions of a given weight is a finite computation. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free