The module structure of Solomon's descent algebra

Journal of the Australian Mathematical Society

Dieter Blessenohl¹ 

[1] Hartmut Laue

关键词: primary 16N20;    secondary 16D15;    16G10;    20C30;    05E15;   

DOI  :  10.1017/S1446788700036752

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

A close connection is uncovered between the lower central series of the free associative algebra of countable rank and the descending Loewy series of the direct sum of all Solomon descent algebras Δn, n ∈ ℕ0. Each irreducible Δn-module is shown to occur in at most one Loewy section of any principal indecomposable Δn-module.A precise condition for his occurence and formulae for the Cartan numbers are obtained.

【 授权许可】

Unknown