Schur-Weyl duality and the free Lie algebra

Doty, Stephen; Douglass, J.

doi:10.1090/proc/13571

Schur-Weyl duality and the free Lie algebra
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by Stephen Doty and J. Matthew Douglass PDF

Proc. Amer. Math. Soc. 145 (2017), 3263-3277 Request permission

Abstract:

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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