Multiplicities of Higher Lie Characters

DOI10.1017/S144678870000344XzbMath1037.20013MaRDI QIDQ4432915

Manfred Schocker

Publication date: 17 March 2004

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

partitionstensor algebrassymmetric groupsfree Lie algebrascomposition multiplicities

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01)

Related Items

Cyclic sieving, necklaces, and branching rules related to Thrall's problem ⋮ Refined cyclic sieving on words for the major index statistic ⋮ Alternating permutations and symmetric functions ⋮ Modular idempotents for the descent algebras of type A and higher Lie powers and modules ⋮ Higher Lie characters and cyclic descent extension on conjugacy classes ⋮ Higher Lie characters and cyclic descent extension on conjugacy classes ⋮ Spectra of Symmetrized Shuffling Operators ⋮ Thrall's problem: cyclic sieving, necklaces, and branching rules

Cites Work

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• Lie elements in the tensor algebra
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• Cyclic characters of symmetric groups
• On the descending Loewy series of Solomon's descent algebra
• Noncommutative cyclic characters of symmetric groups
• Higher Lie idempotents
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring