B–Orbits in Abelian Nilradicals of Types B, C and D: Towards a Conjecture of Panyushev

DOI10.1007/978-981-10-2636-2_28zbMath1394.17026arXiv1601.02731OpenAlexW2962838030MaRDI QIDQ5278151

Nurit Barnea, Anna Melnikov

Publication date: 13 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02731

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Root systems (17B22)

Related Items (2)

B-orbits of square zero in nilradical of the symplectic algebra ⋮ The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals

Cites Work

• Classical Bruhat orders and lexicographic shellability
• B-orbits of square zero in nilradical of the symplectic algebra
• Combinatorics of \(B\)-orbits and Bruhat-Chevalley order on involutions.
• B-orbits of nilpotency order 2 and link patterns
• On the orbits of a Borel subgroup in abelian ideals
• GENERALIZATION OF THE BRUHAT DECOMPOSITION

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