Abstract
AbstractWe will study the following question: Are nilpotent conjugacy classes of reductive Lie algebras overp-adic fields definable? By definable, we mean definable by a formula in Pas's language. In this language, there are no field extensions and no uniformisers. Using Waldspurger's parametrization, we answer in the affirmative in the case of special orthogonal Lie algebras so(n) fornodd, overp-adic fields.
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