Characteristic polynomials and finite dimensional representations of simple Lie algebras

MaRDI QIDQ6120526

Shoumin Liu, Amin Geng, Xumin Wang

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2024/30-2.html

zbMATH Keywords

Lie algebracharacteristic polynomialmonoidfinite dimensional representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05)

Cites Work

• Projective spectrum and kernel bundle
• Joint spectrum and the infinite dihedral group
• Determinants and characteristic polynomials of Lie algebras
• On the characteristic polynomials of multiparameter pencils
• 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 \(\mathfrak{sl}(2, \mathbb{F})\)
• Geometric spectral theory for compact operators
• PROJECTIVE SPECTRUM IN BANACH ALGEBRAS
• Introduction to Lie Algebras and Representation Theory
• Lie groups beyond an introduction
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