On the decomposition of tensor representations of symmetric groups

DOI10.1007/s10468-018-9804-6zbMath1480.20038arXiv1712.03356OpenAlexW2962913801MaRDI QIDQ2272708

P. P. Nikitin, Natalia V. Tsilevich, Anatoly M. Vershik

Publication date: 20 September 2019

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03356

zbMATH Keywords

symmetric groupSchur-Weyl dualitydecomposition tensor of tensor representationsinfinite symmertic group

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representations of infinite symmetric groups (20C32)

Cites Work

• Partition algebras.
• Induced representations of the infinite symmetric group.
• A realization of the irreducible representations of \(S_n\) corresponding to 2-row diagrams in the space of square-free symmetric forms.
• Irreducible induced representations of ICC-groups
• A Hopf-algebra approach to inner plethysm
• Markov Measures on Young Tableaux and Induced Representations of the Infinite Symmetric Group
• The Structure of Certain Unitary Representations of Infinite Symmetric Groups
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