Weighted projective spaces and minimal nilpotent orbits

Weighted Projective Spaces and Minimal Nilpotent Orbits

We investigate (twisted) rings of differential operators on the resolution of singularities of an irreducible component X of Omin ∩ n+ (where Omin is the (Zariski) closure of the minimal nilpotent orbit of sp2n and n+ is the Borel subalgebra of sp2n) using toric geometry, and show that they are homomorphic images of a certain family of associative subalgebras of U(sp2n), which contains the maxi...

Homogeneous Twistor Spaces And Nilpotent Orbits

Geometric Quantization of Real Minimal Nilpotent Orbits

In this paper, we begin a quantization program for nilpotent orbits OR of a real semisimple Lie group GR. These orbits arise naturally as the coadjoint orbits of GR which are stable under scaling, and thus they have a canonical symplectic structure ω where the GR-action is Hamiltonian. These orbits and their covers generalize the oscillator phase space T R, which occurs here when GR = Sp(2n,R) ...

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Geodesics on Weighted Projective Spaces

We study the inverse spectral problem for weighted projective spaces using wave-trace methods. We show that in many cases one can “hear” the weights of a weighted projective space.