Orthogonal subsets of root systems and the orbit method

DOI10.1090/S1061-0022-2011-01167-7zbMath1246.17011arXiv1007.5220MaRDI QIDQ3093175

Mikhail V. Ignatyev

Publication date: 12 October 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.5220

zbMATH Keywords

coadjoint orbitsorthogonal subsets of root systems

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Root systems (17B22)

Related Items (8)

Tangent cones to Schubert varieties in types \(A_{n}\), \(B_{n}\) and \(C_{n}\) ⋮ Equiangular spherical semidesigns ⋮ Combinatorics of \(B\)-orbits and Bruhat-Chevalley order on involutions. ⋮ Centrally generated primitive ideals of \(U(\mathfrak{n})\) for exceptional types ⋮ On Involutions in the Weyl Group and B-Orbit Closures in the Orthogonal Case ⋮ Gradedness of the set of rook placements in \(A_{n -1}\) ⋮ On cones tangent to Schubert varieties of type $D_n$ ⋮ The Bruhat-Chevalley order on involutions of the hyperoctahedral group and the combinatorics of \(B\)-orbit closures.

Cites Work

• Orthogonal subsets of classical root systems and coadjoint orbits of unipotent groups.
• Super-characters of finite unipotent groups of types \(B_n\), \(C_n\) and \(D_n\).
• Subregular characters of the unitriangular group over a finite field.
• Representations of finite Chevalley groups. A survey
• Proof of Springer's hypothesis
• Character sheaves on unipotent groups in positive characteristic: foundations.
• Involutions in \(S_n\) and associated coadjoint orbits
• The basic character table of the unitriangular group
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