Abelian ideals and amazing roots

DOI10.1142/S0129167X17501051zbMath1432.17008arXiv1711.04129MaRDI QIDQ4602453

Dmitri I. Panyushev

Publication date: 11 January 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.04129

zbMATH Keywords

root systemBorel subalgebraabelian ideal

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)

Cites Work

• Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
• 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
• The poset of positive roots and its relatives
• B-Stable Ideals in the Nilradical of a Borel Subalgebra
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