Skew Howe duality and random rectangular Young tableaux

DOI10.5802/alco.8zbMath1391.05268arXiv1705.07604OpenAlexW3105204985MaRDI QIDQ1637369

Greta Panova, Piotr Śniady

Publication date: 8 June 2018

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07604

zbMATH Keywords

random Young diagramsskew Howe dualityrepresentations of finite symmetric groupsrepresentations of general linear groups \(\operatorname{GL}_m\)

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Combinatorial probability (60C05) Semisimple Lie groups and their representations (22E46)

Related Items (3)

Skew Howe duality and limit shapes of Young diagrams ⋮ On random shifted standard Young tableaux and 132-avoiding sorting networks ⋮ On random shifted standard Young tableaux and 132-avoiding sorting networks

Cites Work

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• Asymptotics of characters of symmetric groups related to Stanley character formula
• Stanley's formula for characters of the symmetric group.
• Representations of symmetric groups and free probability
• Semiclassical asymptotics of \(\mathrm {GL}_N(\mathbb C)\) tensor products and quantum random matrices
• Irreducible symmetric group characters of rectangular shape.
• Quantum random walk on the dual of SU\((n)\)
• Representations of unitary groups and free convolution
• Representations of classical Lie groups and quantized free convolution
• Gaussian fluctuations of characters of symmetric groups and of Young diagrams
• Limit shapes for random square Young tableaux
• New lower bounds for the border rank of matrix multiplication

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