ÉTALE REPRESENTATIONS FOR REDUCTIVE ALGEBRAIC GROUPS WITH FACTORS Spn OR SOn
نویسندگان
چکیده
منابع مشابه
Representations of Reductive Groups
This course consists of two parts. In the first we will study representations of reductive groups over local non-archimedian fields [ such as Qp and Fq((s))]. In this part I’ll closely follow the notes of the course of J.Bernstein. Moreover I’ll often copy big chanks from these notes. In the second the representations of reductive groups over 2-dimensional local fields [ such as Qp((s))]. In th...
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Let F be either R or a finite extension of Qp, and let G be a finite central extension of the group of F -points of a reductive group defined over F . Also let π be a smooth representation of G (Fréchet of moderate growth if F = R). For each nilpotent orbit O we consider a certain Whittaker quotient πO of π. We define the Whittaker support WS(π) to be the set of maximal O among those for which ...
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A symplectic action G : X of an algebraic group S on a symplectic algebraic variety X is called coisotropic if a generic orbit of this action is a coisotropic submanifold of X. In this article a classification of coisotropic symplectic linear actions G : V is given in the case where G is a reductive group.
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The unipotent groups are an important class of algebraic groups. We show that techniques used to compute with finitely generated nilpotent groups carry over to unipotent groups. We concentrate particularly on the maximal unipotent subgroup of a split reductive group and show how this improves computation in the reductive group itself.
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is continuous. “Locally convex” means that the space has lots of continuous linear functionals, which is technically fundamental. “Complete” allows us to take limits in V , and so define things like integrals and derivatives. The representation (π, V ) is irreducible if V has exactly two closed invariant subspaces (which are necessarily 0 and V ). The representation (π, V ) is unitary if V is a...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2018
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-018-9483-8