An inversion formula for weighted orbital integrals

Rebecca A. Herb

Displaying similar documents to “An inversion formula for weighted orbital integrals”

A trace formula for reductive groups. II : applications of a truncation operator

James Arthur (1980)

Compositio Mathematica

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On weakly infinite-dimensional subspuees

P. Borst (1992)

Fundamenta Mathematicae

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We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and $d i m Y = ω_{0}$ and $d i m X = ω_{0} + 1$ . Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.

Fixed points for reductive group actions on acyclic varieties

Martin Fankhauser (1995)

Annales de l'institut Fourier

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Let $X$ be a smooth, affine complex variety, which, considered as a complex manifold, has the singular $ℤ$ -cohomology of a point. Suppose that $G$ is a complex algebraic group acting algebraically on $X$ . Our main results are the following: if $G$ is semi-simple, then the generic fiber of the quotient map $π : X \to X / / G$ contains a dense orbit. If $G$ is connected and reductive, then the action has fixed points if $\dim X / / G \leq 3$ .