On Orbit Closures of Symmetric Subgroups in Flag Varieties
From MaRDI portal
Publication:4493524
DOI10.4153/CJM-2000-012-9zbMath0972.14039OpenAlexW2086880074MaRDI QIDQ4493524
Michel Brion, Aloysius G. Helminck
Publication date: 21 November 2001
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-2000-012-9
parabolic subgroupsinvolutive automorphismBorel subgroupisotropy groupshomogeneous line bundlecomplex connected reductive group
Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15)
Related Items
On Orbit Decompositions for Symmetric k-Varieties, Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian, Orbit duality in ind-varieties of maximal generalized flags, Extended symmetric spaces and θ-twisted involution graphs, On orbits in double flag varieties for symmetric pairs, Eigenvalue coincidences and \(K\)-orbits. I, Symmetric subgroup actions on isotropic Grassmannians, String rewriting for double coset systems., Minimal parabolic k-subgroups acting on symmetric k-varieties corresponding to k-split groups, Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties, Decompositions related to symmetric varieties, On the Classification of Orbits of Symmetric Subgroups Acting on Flag Varieties of SL(2,k), Classifying the orbits of the generalized symmetric spaces for SL2(Fq), \(B_{n -1}\)-bundles on the flag variety. I, Springer correspondence for the split symmetric pair in type, Composantes PRV généralisées et chemins de Littelmann