PRODUCTS OF HOMOGENEOUS SUBSPACES IN FREE LIE ALGEBRAS-Reference-Cited by-同舟云学术

PRODUCTS OF HOMOGENEOUS SUBSPACES IN FREE LIE ALGEBRAS

Published:2009-08 Issue:05 Volume:19 Page:699-703
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

STÖHR RALPH¹,VAUGHAN-LEE MICHAEL²

Affiliation:

1. School of Mathematics, University of Manchester, Alan Turing Building, Manchester, M13 9PL, UK

2. Christ Church, University of Oxford, Oxford, OX1 1DP, UK

Abstract

Let L be a free Lie algebra of finite rank. If n ≥ 1 then we let Ln denote the homogeneous subspace of L spanned by Lie products of weight n in the free generators of L. We obtain formulae for the dimensions of the subspaces [Lm,Ln] for all m and n.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196709005287

Reference8 articles.

1. Subalgebras of free restricted Lie algebras

2. A basis for free Lie rings and higher commutators in free groups

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