Schur-Weyl duality and the free Lie algebra

We prove an analogue of Schur-Weyl duality for the space of homogeneous Lie polynomials of degree r in n variables.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2017-08, Vol.145 (8), p.3263-3277
Main Authors: DOTY, STEPHEN, DOUGLASS, MATTHEW
Format: Article
Language:English
Subjects:
A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS
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Description
Summary:We prove an analogue of Schur-Weyl duality for the space of homogeneous Lie polynomials of degree r in n variables.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13571