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Showing 1 to 4 of 4 for “"reductive algebraic groups"”.
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Unipotente Charaktere und Zerlegungszahlen der endlichen Chevalleygruppen vom Typ F 4
… to the representation theory of finite Chevalleygroups. First we describe algorithms for explicit computation in connected reductive algebraic groups. These algorithms are well adapted to the computation in some finite subgroups, i.e., the finite groups of Lie type and their parabolic subgroups. …
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Charaktertafeln parabolischer Untergruppen der Steinbergschen Trialitätsgruppen und Anwendungen auf deren Darstellungstheorie
… the character tables of the maximal parabolic subgroups of Steinberg's triality groups. First, an algorithm is presented, based on the Steinberg presentation, for generic computations in finite groups of Lie type and connected reductive algebraic groups. Using this algorithm, the conjugacy classes …
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Dual Pairs and Disconnected Reductive Groups
… of a Lie algebra dual pair (a pair (g₁, g₂) of reductive Lie subalgebras of a Lie algebra g such that g₁ and g₂ equal each other’s centralizers in g) and the notion of a Lie group dual pair (a pair (G₁, G₂) of reductive subgroups of a reductive Lie group G such that G₁ and G₂ are each other’s …