Glorious pairs of roots and abelian ideals of a Borel subalgebra

DOI10.1007/s10801-019-00911-9zbMath1486.17019arXiv1809.10115OpenAlexW2988119732MaRDI QIDQ2021409

Dmitri I. Panyushev

Publication date: 27 April 2021

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

Full work available at URL: https://arxiv.org/abs/1809.10115

zbMATH Keywords

root systemBorel subalgebraabelian idealadjacent simple roots

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22)

Related Items

Commutative polarisations and the Kostant cascade

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
• Antichains in weight posets associated with gradings of simple Lie algebras
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Abelian ideals in a Borel subalgebra of a complex simple Lie algebra
• Abelian ideals of Borel subalgebras and affine Weyl groups
• \(ad\)-nilpotent ideals of a Borel subalgebra
• Abelian ideals of a Borel subalgebra and root systems. II
• Abelian ideals of a Borel subalgebra and root systems
• The poset of positive roots and its relatives
• Normalisers of abelian ideals of a Borel subalgebra and $\mathbb Z$-gradings of a simple Lie algebra
• Symmetries of abelian ideals of Borel subalgebras