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- W1977417441 abstract "We prove that on a complex semisimple Lie algebra g 0 any invariant eigendistribution θ with nonsingular infinitesimal character λ can be represented as a contour integral over a unique homology class Γ of top degree on the conormal variety of the G 0 -action on the flag manifold of g = ( g 0 ) c . When Γ is the closure of the conormal bundle of a G 0 -orbit S w on the flag manifold (any Γ is a linear combination of such) we prove that in Harish-Chandra's representation of θ as a linear combination of exponentials on a Cartan subalgebra h 0 the coefficients are, up to sign, the local Euler numbers at the fixed points of H 0 in the closure of S w ." @default.
- W1977417441 created "2016-06-24" @default.
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- W1977417441 date "1991-02-01" @default.
- W1977417441 modified "2023-09-26" @default.
- W1977417441 title "Invariant eigendistributions on a semisimple Lie algebra and homology classes on the conormal variety. I. An integral formula" @default.
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- W1977417441 doi "https://doi.org/10.1016/0022-1236(91)90076-h" @default.
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