0.1 Maps of the Weil group Give (y, λ) satisfying: 1. λ ∈ X ∗ ⊗ C, 2. y ∈ NormG∨Γ−G∨(T ∨),
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More details can be found in Some Notes on Parametrizing Representations on the atlas web site. In particular this has formulas for computing Cayley transforms and cross actions in various coordinates. The main point is the formula for y. See Marc's email in the Appendix. We have fixed G, G ∨ , and T, T ∨ as usual. Let X * = X * (T), which is canonically identified with X * (T ∨).
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تاریخ انتشار 2009