1 Introduction Let n be a positive integer, and let V be a 2n-dimensional vector space over an

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1 Introduction Let n be a positive integer, and let V be a 2n-dimensional vector space over an **algebraically closed field** K of characteristic 0.

INDEX OF LIE ALGEBRAS Throughout this paper K is an **algebraically closed field** of characteristic 0.

When X is a non-singular projective variety defined over an **algebraically closed field** k of characteristic 0 and G is a connected reductive algebraic group over k, moduli spaces of (semi)stable principal G-bundles over X are known to exist and to be quasi-projective schemes (usually singular).

There are arguments (see [7]) showing that this is the case when K is an uncountable **algebraically closed field**.

The approach computes the local Denef- Loeser motivic zeta function of a quasi-ordinary power series of arbitrary dimension over an **algebraically closed field** of characteristic zero from its characteristic exponents without using embedded resolution of singularities.

MODULES WITH GROUP ACTIONS Let k be an **algebraically closed field** of characteristic 0.