Orbit decompositions of unipotent elements in the generalized symmetric spaces of \(\mathrm{SL}_2(\mathbb{F}_q)\)

DOI10.1007/978-3-319-98684-5_5zbMATH Open1544.20074MaRDI QIDQ6599595

Jennifer B. Schaefer, Carmen Wright, Ellen Ziliak, Catherine A. Buell, Vicky W. Klima

Publication date: 6 September 2024

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Semisimple Lie groups and their representations (22E46) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

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• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• On rationality properties of involutions of reductive groups
• The Structure of Semisimple Symmetric Spaces
• On Orbit Closures of Symmetric Subgroups in Flag Varieties
• CLASSIFICATION OF INVOLUTIONS OF SL(2, k)
• On the structure of Generalized Symmetric Spaces of } and

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Fixed-point group conjugacy classes of unipotent elements in low-dimensional symmetric spaces of special linear groups over a finite field

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