The unbroken spectrum of type-A Frobenius seaweeds

DOI10.1007/s10801-017-0800-4zbMath1464.17015arXiv1606.05397OpenAlexW2962735935MaRDI QIDQ1631378

Matthew Hyatt, Vincent E. jun. Coll, Colton Magnant

Publication date: 6 December 2018

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

Full work available at URL: https://arxiv.org/abs/1606.05397

zbMATH Keywords

eigenvaluespectrumadjoint representationseaweedmeanderFrobenius Lie algebraprincipal elementbiparabolic

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Combinatorial aspects of groups and algebras (05E16)

Related Items (4)

Toral posets and the binary spectrum property ⋮ Unnamed Item ⋮ The index of Lie poset algebras ⋮ The index and spectrum of Lie poset algebras of types B, C, and D

Cites Work

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• On seaweed subalgebras and meander graphs in type \(\mathsf{C}\)
• Meanders and Frobenius seaweed Lie algebras
• The principal element of a Frobenius Lie algebra
• On semi-invariants and index for biparabolic (seaweed) algebras. I
• Meander graphs and Frobenius seaweed Lie algebras. II
• On Lie algebras having a primitive universal enveloping algebra
• Boundary solutions of the classical Yang-Baxter equation
• On the index of certain Lie algebras.
• Central and local limit theorems applied to asymptotic enumeration
• On compositions associated to Frobenius parabolic and seaweed subalgebras of $\mathrm{sl}_{n}(\Bbbk )$
• Cohomology of Lie semidirect products and poset algebras
• On properties of principal elements of Frobenius Lie algebras
• On frobenius lie algebras
• Symplectic meanders

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