Counting conjugacy classes in symmetric spaces over \(\mathbb{F}_q\)

DOI10.1016/S0019-3577(99)80008-1zbMath1029.20023MaRDI QIDQ698627

Philip D. Ryan

Publication date: 22 September 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

numbers of conjugacy classesrepresentationsflag varietiesperverse sheavesalgebras of double cosetsfixed point subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items (1)

Symmetric subgroup invariants in irreducible representations of \(G^F\), when \(G=\text{GL}_n\)

Cites Work

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• Singularities of closures of K-orbits on flag manifolds
• Character sheaves. V
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• 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
• Opération de groupes réductifs dans un type de cônes presque homogènes

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