Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584249 | Journal of Algebra | 2015 | 27 Pages |
Abstract
We study the representation theory of the symmetric group SnSn in positive characteristic p . Using features of the LLT-algorithm we give a conjectural description of the projective cover P(λ)P(λ) of the simple module D(λ)D(λ) where λ is a p-restricted partition such that all ladders of the corresponding ladder partition are of order less than p . Inspired by the recent theory of KLR-algebras, we explain an algorithm that allows us to verify this conjectural description for n≤15n≤15, at least.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Steen Ryom-Hansen,