Branching from the general linear group to the symmetric group and the principal embedding

DOI10.5802/alco.138zbMath1500.17010arXiv1812.06211OpenAlexW3152795115MaRDI QIDQ2031612

Alexander Heaton, Songpon Sriwongsa, Jeb F. Willenbring

Publication date: 10 June 2021

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

Full work available at URL: https://arxiv.org/abs/1812.06211

zbMATH Keywords

branchingplethysmHowe dualityprincipal embedding

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)

Related Items (1)

Symmetric group characters as symmetric functions

Cites Work

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• A computational and combinatorial exposé of plethystic calculus
• A Hopf-algebra approach to inner plethysm
• Products of symmetric group characters
• Introduction to representation theory
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Branching rules for GL(N)⊃Σm and the evaluation of inner plethysms
• SMALL SEMISIMPLE SUBALGEBRAS OF SEMISIMPLE LIE ALGEBRAS
• Lowest 𝔰𝔩(2)-types in 𝔰𝔩(𝔫)-representations

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