2008.57: Lie powers and pseudo-idempotents

2008.57: Marianne Johnson and Ralph Stöhr (2011) Lie powers and pseudo-idempotents. Canadian Mathematical Bulletin, 54 (2). pp. 297-301. ISSN 0008-4395

Full text available as:

PDF (pre-review preprint) - Archive staff only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 181 Kb

DOI: 10.4153/CMB-2011-014-x

Abstract

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.

Download Statistics: last 4 weeks
Repository Staff Only: edit this item