Complex integral geometry on real semisimple Lie groups (Lie Groups, Geometric Structures and Differential Equations : One Hundred Years after Sophus Lie)

§ 10. Top corner of the triangle: regular systems of weights We start anew by introducing the concept of a regular system of weights. in the next section. This view point

Using a ltration of Outer space indicated by Kontsevich, we show that the primitive part of the homology of the Lie graph complex is the direct sum of the cohomologies of Out(F r ),

By using some results that appear in [18], in this paper we prove that if an equation of the form (6) admits a three dimensional Lie algebra of point symmetries then the order of

Motivated by the brilliant observation of Kowalewski that integrable cases of the heavy top are integrated by means of elliptic and hyperelliptic integrals and that, therefore,

The Heisenberg and filiform Lie algebras (see Example 4.2 and 4.3) illustrate some features of the T ∗ -extension, notably that not every even-dimensional metrised Lie algebra over

It is shown that the space of invariant trilinear forms on smooth representations of a semisimple Lie group is finite dimensional if the group is a product of hyperbolic

It is shown that the space of invariant trilinear forms on smooth representations of a semisimple Lie group is finite dimensional if the group is a product of hyperbolic

If g is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.. We describe noncomplete affine structures on the filiform