More on characteristic polynomials of Lie algebras

DOI10.1016/j.jalgebra.2023.12.024arXiv2308.04618OpenAlexW4390760352MaRDI QIDQ6146424

Korkeat Korkeathikhun, Keng Wiboonton, Borworn Khuhirun, Songpon Sriwongsa

Publication date: 5 February 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.04618

zbMATH Keywords

characterscharacteristic polynomialssimple Lie algebrasnilpotent Lie algebras

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Cites Work

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• Representation theory of finite groups: From Frobenius to Brauer
• Determinants and characteristic polynomials of Lie algebras
• Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices
• Characteristic polynomials and finitely dimensional representations of \(\mathfrak{sl}(2, \mathbb{C})\)
• Spectral invariants for finite dimensional Lie algebras
• On the characteristic polynomial of \(\mathfrak{sl}(2, \mathbb{F})\)
• On orbits of action of 5-dimensional non-solvable Lie algebras in three-dimensional complex space
• Classification of Solvable Lie Algebras
• Introduction to Lie Algebras and Representation Theory

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