General runner removal and the Mullineux map
Representation Theory
2012-02-20 v8 Combinatorics
Quantum Algebra
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.
Cite
@article{arxiv.0712.2390,
title = {General runner removal and the Mullineux map},
author = {Matthew Fayers},
journal= {arXiv preprint arXiv:0712.2390},
year = {2012}
}
Comments
40 pages