Free Lie superalgebras, trees and chains of partitions

DOI10.1023/A:1022400700309zbMath0871.17003OpenAlexW2006319276MaRDI QIDQ1815595

Christophe Reutenauer, Guy Melançon

Publication date: 18 September 1997

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022400700309

zbMATH Keywords

treefree Lie superalgebracombinatorial constructions

Mathematics Subject Classification ID

Trees (05C05) Combinatorial aspects of representation theory (05E10) Combinatorics of partially ordered sets (06A07) Identities, free Lie (super)algebras (17B01) Superalgebras (17A70) Graph labelling (graceful graphs, bandwidth, etc.) (05C78)

Related Items (3)

Linking of letters and the lower central series of free groups ⋮ Monoidal structures on the categories of quadratic data ⋮ On the (co)homology of the partition lattice and the free Lie algebra.

Cites Work

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• The Orlik-Solomon algebra on the partition lattice and the free Lie algebra
• On the action of the symmetric group on the free Lie algebra and the partition lattice
• On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
• The fixed-point partition lattices
• On the homology of geometric lattices
• Some aspects of groups acting on finite posets
• On Lie \(k\)-algebras
• Group actions on Stanley-Reisner rings and invariants of permutation groups
• Generalized Lie Elements

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