Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493271 | Journal of Algebra | 2005 | 13 Pages |
Abstract
Let G=GLn denote the general linear group of invertible nÃn matrices with entries in an algebraically closed field F of characteristic 2. We prove the existence of certain composition factors in the restriction to GLnâkÃGLk of some polynomial G-modules. As a consequence, we resolve the final case of the problem, addressed by Jantzen and Seitz, of when an irreducible modular representation of the symmetric group Sn remains irreducible upon restriction to the Young subgroup SnâkÃSk.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Aaron M. Phillips,