Lie Powers and Pseudo-Idempotents

Canadian mathematical bulletin

Ralph Stöhr¹  Marianne Johnson¹ 

[1] School of Mathematics, University of Manchester, Manchester, M13 9PL, U.K.

关键词: resultant;    Chebyshev polynomial;   

DOI  :  10.4153/CMB-2011-014-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We give a new factorisation of the classical Dynkin operator, an element of the integral group ring of the symmetric group that facilitates projections of tensor powers onto Lie powers. As an application we show that the iterated Lie power $L_2(L_n)$ is a module direct summand of the Lie power $L_{2n}$ whenever the characteristic of the ground field does not divide $n$. An explicit projection of the latter onto the former is exhibited in this case.

【 授权许可】

Unknown