Modular Idempotents for the Descent Algebras of Type A and Higher Lie Powers and Modules
Representation Theory
2023-03-30 v4
Abstract
The article focuses on four aspects related to the descent algebras of type . They are modular idempotents, higher Lie powers, higher Lie modules and the right ideals of the symmetric group algebras generated by the Solomon's descent elements. More precisely, we give a construction for the modular idempotents, describe the dimension and character for higher Lie powers and study the structures of the higher Lie modules and the right ideals both in the ordinary and modular cases.
Keywords
Cite
@article{arxiv.2109.11733,
title = {Modular Idempotents for the Descent Algebras of Type A and Higher Lie Powers and Modules},
author = {Kay Jin Lim},
journal= {arXiv preprint arXiv:2109.11733},
year = {2023}
}
Comments
This expands the previous version by including extra sections (4 and 6)