Branching rules for splint root systems

DOI10.1007/s10468-021-10055-9zbMath1504.17010arXiv1812.09389OpenAlexW3159951860MaRDI QIDQ2149538

Yao-Rui Yeo, Logan Crew, Alexandre Kirillov

Publication date: 29 June 2022

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

Full work available at URL: https://arxiv.org/abs/1812.09389

zbMATH Keywords

Lie algebrasLittlewood-Richardson rulebranching rulesWeyl character formularestricted representationssplint root systems

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of Lie groups (22E60) Root systems (17B22)

Cites Work

• Splints of root systems for special Lie subalgebras
• A remark on the Gelfand-Tsetlin patterns for symplectic groups
• Separation of multiple points of the spectrum in the reduction \(Sp(2n)\downarrow Sp(2n-2)\).
• Splints of classical root systems
• Introduction to Lie Algebras and Representation Theory
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