Character polynomials, their \(q\)-analogs and the Kronecker product.

zbMath1216.20003MaRDI QIDQ2380321

Yanyan Li

Publication date: 26 March 2010

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/233474

zbMATH Keywords

partitionssymmetric groupsKronecker productsirreducible characterssymmetric functionsplethysmscharacter polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (11)

Symmetric group characters as symmetric functions ⋮ The \(R_\infty\) property for pure Artin braid groups ⋮ Regularity and stable ranges of \textbf{FI}-modules ⋮ Likelihood orders for the \(p\)-cycle walks on the symmetric group ⋮ Character polynomials and the restriction problem ⋮ \(\mathrm{FI}_{\mathcal{W}}\)-modules and constraints on classical Weyl group characters ⋮ A random walk on the symmetric group generated by random involutions ⋮ Counting permutations with no long monotone subsequence via generating trees and the kernel method ⋮ GL-equivariant modules over polynomial rings in infinitely many variables ⋮ Unnamed Item ⋮ FI-modules and stability for representations of symmetric groups

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