Higher Lie characters and cyclic descent extension on conjugacy classes

zbMath1515.05192arXiv1909.04460MaRDI QIDQ6161703

Yuval Roichman, Pál Hegedűs, Ron M. Adin

Publication date: 5 June 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.04460

zbMATH Keywords

symmetric groupconjugacy classcyclic descenthigher Lie character

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Vector and tensor algebra, theory of invariants (15A72)

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Cyclic descents for Motzkin paths

Cites Work

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• The formal series Witt transform
• Promotion and cyclic sieving via webs
• Cyclic sieving, promotion, and representation theory
• Affine descents and the Steinberg torus
• On the eigenvalues of representations of reflection groups and wreath products
• The major index polynomial for conjugacy classes of permutations
• Lie elements in the tensor algebra
• Cyclic Eulerian elements
• Counting permutations with given cycle structure and descent set
• Descent classes of permutations with a given number of fixed points
• The homology representations of the symmetric group on Cohen-Macaulay subposets of the partition lattice
• Cyclic sieving, necklaces, and branching rules related to Thrall's problem
• The combinatorics of the bar resolution in group cohomology
• Cyclic descents for general skew tableaux
• On rotated Schur-positive sets
• Exact and asymptotic enumeration of cyclic permutations according to descent set
• Cyclic sieving of increasing tableaux and small Schröder paths
• On a variant of \(\text{Lie}_{n}\)
• Multiplicities of Higher Lie Characters
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring
• On Cyclic Descents for Tableaux
• Cyclic quasi-symmetric functions