Embeddings of higher Lie modules.

DOI10.1016/S0022-4049(03)00100-2zbMath1048.20030WikidataQ115340134 ScholiaQ115340134MaRDI QIDQ1414067

Manfred Schocker

Publication date: 19 November 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

tensor algebrasgeneral linear groupsidempotentssymmetric groupsLie moduleshook partitionsdecomposition multiplicities

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Structure theory for Lie algebras and superalgebras (17B05)

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On the existence of tableaux with given modular major index ⋮ Standard tableaux and Klyachko's theorem on Lie representations ⋮ Standard tableaux and modular major index ⋮ A combinatorial proof of Klyachko's theorem on Lie representations.

Cites Work

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• The Eulerian representations of \(\Sigma_ n\) as restrictions of representations of \(\Sigma_{n+1}\)
• Lie elements in the tensor algebra
• Multiplicities of irreducible components of a free Lie algebra as a linear group module
• On the descending Loewy series of Solomon's descent algebra
• Die linearen Beziehungen zwischen höheren Kommutatoren
• Über Invarianten in Lieschen Ringen
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring
• The Free Lie Ring and Lie Representations of the Full Linear Group
• A symmetry property of Solomon's algebra and of higher Lie characters