Noncommutative cyclic characters of symmetric groups

DOI10.1006/jcta.1996.0063zbMath0857.20005OpenAlexW2026990364MaRDI QIDQ1919668

Bernard Leclerc, Thomas Scharf, Jean-Yves Thibon

Publication date: 3 March 1997

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7664c91455e014a74ab4ca6b880ed7973ec61532

zbMATH Keywords

Schur functionscyclic representationsKronecker productcharacters of symmetric groupsnoncommutative symmetric functionsdescent algebrastransitive cyclic subgroupsmultiplication formulanoncommuting indeterminatesmajor index of permutationsnoncommutative cyclic characters

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (8)

Lie idempotent algebras. ⋮ Symmetric functions, noncommutative symmetric functions and quasisymmetric functions. II. ⋮ Acyclic complexes related to noncommutative symmetric functions ⋮ The peak algebra of the symmetric group revisited. ⋮ Quasideterminants ⋮ Multiplicities of Higher Lie Characters ⋮ Commutative combinatorial Hopf algebras. ⋮ Cyclic characters of symmetric groups

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