A spin analogue of Kerov polynomials

DOI10.3842/SIGMA.2018.053zbMath1391.05267arXiv1803.01121MaRDI QIDQ1639738

Sho Matsumoto

Publication date: 13 June 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01121

zbMATH Keywords

charactersfree cumulantsKerov polynomialsspin symmetric groups

Mathematics Subject Classification ID

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

Related Items (4)

Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category ⋮ Random strict partitions and random shifted tableaux ⋮ Linear versus spin: representation theory of the symmetric groups ⋮ Stanley character formula for the spin characters of the symmetric groups

Cites Work

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• Polynomiality of shifted Plancherel averages and content evaluations
• The Limit Shape Problem for Ensembles of Young Diagrams
• Vibration of a beam due to a random stream of moving forces with random velocity
• Lectures on spin representation theory of symmetric groups

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