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This paper is the sequel to The radiance obstruction and par- allel forms on a;ffne manifolds (lYans. Amer. Math. Soc. 286 (1984), 629 649) which introduced a new family of secondary characteristi...
We describe the closures of locally divergent orbits under the action of tori on Hilbert modular spaces of rank r ≥ 2.In particular, we prove that if D is a maximal R-split torus acting on a real Hilb...
We construct an enlargement of the classifying space of mixed Hodge structures with polarized graded quotients, by adding mixed Hodge theoretic version of SL(2)-orbits. This space has a real analytic ...
The orbit decomposition is presented for the real form of complex simple Jordan algebra with the automorphism group F$_{4(-20)}$, explicitly, in terms of the cross product and the characteristic polyn...
Let T be a maximal torus in a classical linear group G. In this paper we find all simple rational G-modules V such that for each vector v ∈ V the closure of its T -orbit is a normal affine variety. F...
It is well known that G = hx, y : x2 = y3 = 1i represents the modular group PSL(2,Z), where x : z → −1 z , y : z → z−1 z are linear fractional transformations. Let n = k2m, where k is any ...
We consider finite W-algebras U(g, e) associated to even multiplicity nilpotent elements in classical Lie algebras. We give a classification of finite dimensional irreducible U(g, e)-modules with inte...

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