Combinatorics of \(B\)-orbits and Bruhat-Chevalley order on involutions.

DOI10.1007/s00031-012-9191-8zbMath1272.20050arXiv1101.2189OpenAlexW3099637886MaRDI QIDQ1928555

Mikhail V. Ignatyev

Publication date: 3 January 2013

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2189

zbMATH Keywords

general linear groupsZariski closuresorbit closuresBorel subgroupsBruhat-Chevalley orderposets of involutionsgeometry of Schubert varieties

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical groups (algebro-geometric aspects) (14L35) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (10)

B–Orbits in Abelian Nilradicals of Types B, C and D: Towards a Conjecture of Panyushev ⋮ Tangent cones to Schubert varieties in types \(A_{n}\), \(B_{n}\) and \(C_{n}\) ⋮ On the orbits of a Borel subgroup in abelian ideals ⋮ B-orbits of square zero in nilradical of the symplectic algebra ⋮ The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals ⋮ On Involutions in the Weyl Group and B-Orbit Closures in the Orthogonal Case ⋮ Gradedness of the set of rook placements in \(A_{n -1}\) ⋮ Kostant-Kumar polynomials and tangent cones to Schubert varieties for involutions in \(A_{n}\), \(F_{4}\), and \(G_{2}\) ⋮ On cones tangent to Schubert varieties of type $D_n$ ⋮ Nilpotent orbits of height 2 and involutions in the affine Weyl group

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