The Bruhat order on abelian ideals of Borel subalgebras

DOI10.1090/tran/8092zbMath1457.14109arXiv1806.08622OpenAlexW3043896455MaRDI QIDQ5125053

Pierluigi Möseneder Frajria, Paolo Papi, Andrea Maffei, Jacopo Gandini

Publication date: 1 October 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08622

zbMATH Keywords

Bruhat ordernilpotent orbitspherical varietyabelian ideal

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Coadjoint orbits; nilpotent varieties (17B08) Compactifications; symmetric and spherical varieties (14M27)

Related Items (2)

On the Bruhat \(\mathcal{G}\)-order between local systems on the \(B\)-orbits in a Hermitian symmetric variety ⋮ The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals

Cites Work

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• On spherical nilpotent orbits and beyond
• 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
• The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals
• On the orbits of a Borel subgroup in abelian ideals
• A generalization of Cachazo-Douglas-Seiberg-Witten conjecture for symmetric spaces
• Combinatorics of Coxeter Groups
• B-Stable Ideals in the Nilradical of a Borel Subalgebra
• Spherical orbits and Abelian ideals

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