Exotic symmetric space over a finite field. I

DOI10.1007/s00031-013-9237-6zbMath1308.14050arXiv1207.5093OpenAlexW1971159164MaRDI QIDQ367140

Toshiaki Shoji, Karine Sorlin

Publication date: 26 September 2013

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

Full work available at URL: https://arxiv.org/abs/1207.5093

zbMATH Keywords

intersection cohomologyexotic character sheavesKato's exotic nilpotent coneSpringer correspondece

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Classical groups (algebro-geometric aspects) (14L35)

Related Items (11)

Exotic symmetric spaces of higher level: Springer correspondence for complex reflection groups ⋮ Symmetric spaces associated to classical groups with even characteristic ⋮ Enhanced variety of higher level and Kostka functions associated to complex reflection groups ⋮ Generalized Green functions associated to complex reflection groups ⋮ Exotic symmetric space over a finite field. II ⋮ 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 ⋮ Hamiltonian reduction and nearby cycles for mirabolic \(\mathcal{D}\)-modules ⋮ Generalized Springer correspondence for symmetric spaces associated to orthogonal groups ⋮ Exotic symmetric space over a finite field. III ⋮ On the exotic Grassmannian and its nilpotent variety

Cites Work

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• The character table of the Hecke algebra \({\mathcal H}(GL_{2n}(\mathbb{F}_ q),Sp_{2n}(\mathbb{F}_ q))\)
• Orbits, invariants, and representations associated to involutions of reductive groups
• The exotic Robinson-Schensted correspondence
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• Étale Slices for Algebraic Transformation Groups in Characteristic p
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