Article ID Journal Published Year Pages File Type
4584249 Journal of Algebra 2015 27 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Algebra and Number Theory
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