English

On some trivial source Specht modules

Representation Theory 2021-02-16 v2

Abstract

The paper presented here focuses on the classification of trivial source Specht modules. We completely classify the trivial source Specht modules labelled by hook partitions. We also classify the trivial source Specht modules labelled by two-part partitions in the odd characteristic case. Moreover, in the even characteristic case, we prove a result for the classification of the trivial source Specht modules labelled by partitions with 2-weight 2, which justifies a conjecture of [16].

Cite

@article{arxiv.1812.07882,
  title  = {On some trivial source Specht modules},
  author = {Yu Jiang},
  journal= {arXiv preprint arXiv:1812.07882},
  year   = {2021}
}

Comments

Correct a flaw of the Introduction pointed by Prof. Liron Speyer. 24 pages

R2 v1 2026-06-23T06:47:37.279Z