Exotic symmetric space over a finite field. II

DOI10.1007/s00031-014-9272-yzbMath1319.14056arXiv1212.5861OpenAlexW2949938533MaRDI QIDQ404614

Karine Sorlin, Toshiaki Shoji

Publication date: 4 September 2014

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

Full work available at URL: https://arxiv.org/abs/1212.5861

zbMATH Keywords

intersection cohomologycharacter sheavesnilpotent coneexotic symmetric spaceKostka polynomials

Mathematics Subject Classification ID

Compactifications; symmetric and spherical varieties (14M27)

Related Items (6)

Irreducible components of exotic Springer fibres. II: The exotic Robinson-Schensted algorithm ⋮ Enhanced variety of higher level and Kostka functions associated to complex reflection groups ⋮ Exotic Springer fibers for orbits corresponding to one-row bipartitions ⋮ On total Springer representations for the symplectic Lie algebra in characteristic 2 and the exotic case ⋮ A characteristic map for the symmetric space of symplectic forms over a finite field ⋮ Exotic symmetric space over a finite field. III

Cites Work

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• Exotic symmetric space over a finite field. I
• Orbit closures in the enhanced nilpotent cone
• An exotic Deligne-Langlands correspondence for symplectic groups.
• Character sheaves. II
• Green polynomials and singularities of unipotent classes
• Symmetric functions, conjugacy classes and the flag variety
• Fourier transform, parabolic induction, and nilpotent orbits
• Fourier transforms on invariant functions on finite reductive Lie algebras
• The character table of the Hecke algebra \({\mathcal H}(GL_{2n}(\mathbb{F}_ q),Sp_{2n}(\mathbb{F}_ q))\)
• The exotic Robinson-Schensted correspondence
• An algebraic study of extension algebras
• Green functions associated to complex reflection groups

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