The Schur-Weyl graph and Thoma's theorem

DOI10.1134/S0016266321030023zbMath1483.05201arXiv2107.08415OpenAlexW4207083085MaRDI QIDQ2667876

Anatoly M. Vershik, Natalia V. Tsilevich

Publication date: 2 March 2022

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08415

zbMATH Keywords

RSK algorithmcentral measuresThoma's theoremSchur-Weyl graph

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Symmetric groups (20B30)

Related Items (1)

Multiple partition structures and harmonic functions on branching graphs

Cites Work

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• Three theorems on the uniqueness of the Plancherel measure from different viewpoints
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• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• Representations of the Infinite Symmetric Group
• Robinson--Schensted--Knuth Algorithm, Jeu de Taquin, and Kerov--Vershik Measures on Infinite Tableaux
• The Characters of the Infinite Symmetric Group and Probability Properties of the Robinson–Schensted–Knuth Algorithm
• Groups generated by involutions, numberings of posets, and central measures

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