Lie Invariants in Two and Three Variables

DOI10.1142/S1005386714000078zbMath1362.17008arXiv1008.2380OpenAlexW2963137553WikidataQ115244762 ScholiaQ115244762MaRDI QIDQ5396030

Murray R. Bremner, Jiaxiong Hu

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1008.2380

zbMATH Keywords

representation theoryfree Lie algebrasHermite normal formLLL algorithminvariant Lie polynomials

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Identities, free Lie (super)algebras (17B01)

Cites Work

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• An application of lattice basis reduction to polynomial identities for algebraic structures
• Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra
• Free Lie algebras, generalized Witt formula, and the denominator identity
• Über Invarianten in Lieschen Ringen
• Invariants of free lie rings
• The enumeration of lie invariants
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring