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On some submodules of the action of the symmetric group on the free Lie algebra

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Publication:1204444
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DOI10.1006/jabr.1993.1002zbMath0851.17006OpenAlexW1984110348WikidataQ115396338 ScholiaQ115396338MaRDI QIDQ1204444

Sheila Sundaram, Hélène Barcelo

Publication date: 29 March 1993

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1002


zbMATH Keywords

free Lie algebrarepresentationssymmetric groupplethysm


Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)


Related Items (7)

A \(q\)-multinomial expansion of LLT coefficients and plethysm multiplicities ⋮ Representations of the Symmetric Group in Deformations of the Free Lie Algebra ⋮ Algorithmic construction of SYM multiparticle superfields in the BCJ gauge ⋮ Planar binary trees in scattering amplitudes ⋮ On the (co)homology of the partition lattice and the free Lie algebra. ⋮ Lie representations and an algebra containing Solomon's. ⋮ Counting permutations with given cycle structure and descent set




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