On ad-nilpotent \(b\)-ideals for orthogonal Lie algebras

DOI10.1007/s10114-012-1599-5zbMath1317.17009OpenAlexW2085648579MaRDI QIDQ1940850

Li Luo, Li-Li Liu

Publication date: 8 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-1599-5

zbMATH Keywords

Borel subalgebraorthogonal Lie algebraad-nilpotent ideal

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Enumeration of ad-nilpotent \({\mathfrak b}\)-ideals for simple Lie algebras
• Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
• Abelian ideals in a Borel subalgebra of a complex simple Lie algebra
• \(ad\)-nilpotent ideals of a Borel subalgebra
• 𝑎𝑑-nilpotent 𝔟-ideals in 𝔰𝔩(𝔫) having a fixed class of nilpotence: combinatorics and enumeration
• Abelian ideals and cohomology of symplectic type
• Enumeration of ad-nilpotent ideals of a Borel subalgebra in type A by class of nilpotence
• Spherical orbits and Abelian ideals

This page was built for publication: On ad-nilpotent \(b\)-ideals for orthogonal Lie algebras