On a generalization of Lie\((k)\): a CataLAnKe theorem

DOI10.1016/j.aim.2021.107570zbMath1477.17043arXiv1710.00376OpenAlexW2763747537MaRDI QIDQ2227272

Richard P. Stanley, Tamar Friedmann, Michelle L. Wachs, Philip J. Hanlon

Publication date: 15 February 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00376

zbMATH Keywords

free Lie algebraLie representationpresentation of Specht modules

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (2)

Action of the symmetric group on the free LAnKe: a CataLAnKe theorem ⋮ A simplified presentation of Specht modules

Cites Work

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• n-ary algebras: a review with applications
• Orbifold singularities, Lie algebras of the third kind (LATKes), and pure Yang–Mills with matter

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