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Abstract: De Concini and Procesi have defined the wonderful compactification of asymmetric space X=G-H with G a semisimple adjoint group and H the subgroup offixed points of G by an involution s. It is a closed subvariety of agrassmannian of the Lie algebra L of G. In this paper, we prove that, when therank of X is equal to the rank of G, the variety is defined by linearequations. The set of equations expresses the fact that the invariant alternatetrilinear form w on L vanishes on the -1-eigenspace of s.



Author: Pascal Hivert

Source: https://arxiv.org/







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