Springer correspondence for the split symmetric pair in type

DOI10.1112/S0010437X18007443zbMath1490.20032arXiv1608.06034WikidataQ129082999 ScholiaQ129082999MaRDI QIDQ3121272

Ting Xue, Kari Vilonen, Tsao-Hsien Chen

Publication date: 15 March 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06034

zbMATH Keywords

Fourier transformHecke algebrassymmetric pairsHessenberg varietiesSpringer correspondencenearby cycle sheaves

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

Character sheaves for classical symmetric pairs, Geometric wave-front set may not be a singleton, Real and symmetric matrices, Character sheaves for graded Lie algebras: stable gradings, Algebraic groups. Abstracts from the workshop held April 18--24, 2021 (hybrid meeting), A Survey of Recent Developments on Hessenberg Varieties, Generalized Springer correspondence for symmetric spaces associated to orthogonal groups, Hessenberg varieties, intersections of quadrics, and the Springer correspondence, Springer correspondence for the split symmetric pair in type, Character sheaves for symmetric pairs: Special linear groups, Nearby cycle sheaves for symmetric pairs

Cites Work

• Unnamed Item
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• Modules de Hodge polarisables. (Polarisable Hodge modules)
• Three problems in combinatorial asymptotics
• Tresses, monodromie et le groupe symplectique
• Fourier transform, parabolic induction, and nilpotent orbits
• Study of perverse sheaves arising from graded Lie algebras
• On the cohomology of Fano varieties and the Springer correspondence
• From groups to symmetric spaces
• Study of antiorbital complexes
• Springer correspondence for the split symmetric pair in type
• Representations of Hecke Algebras of General Linear Groups
• Induced Unipotent Classes
• On Orbit Closures of Symmetric Subgroups in Flag Varieties
• 𝐙/𝐦-graded Lie algebras and perverse sheaves, I
• Hessenberg varieties, intersections of quadrics, and the Springer correspondence
• Purity of equivalued affine Springer fibers
• Orbits and Representations Associated with Symmetric Spaces
• Nearby cycle sheaves for symmetric pairs