A Combinatorial Proof of a Plethystic Murnaghan--Nakayama Rule

DOI10.1137/14098260XzbMath1344.05149arXiv1408.3554OpenAlexW2962725422MaRDI QIDQ2818202

Mark Wildon

Publication date: 6 September 2016

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3554

zbMATH Keywords

symmetric functionsMurnaghan-Nakayama ruleplethysmabacus

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (5)

Two Murnaghan-Nakayama rules in Schubert calculus ⋮ A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type ⋮ A generalized SXP rule proved by bijections and involutions ⋮ Abacus proofs of Cauchy product identities for Schur polynomials ⋮ Petrie symmetric functions

Cites Work

• Character deflations and a generalization of the Murnaghan-Nakayama rule.
• Hall-Littlewood functions and Kostka-Foulkes polynomials in representation theory
• Abacus Proofs of Schur Function Identities
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