On the geometry of nilpotent orbits
WebIn the world of singular Poisson geometry, the closures of principal holomorphic nilpotent orbits, positive definite hermitian JTS', and certain pre-homogeneous spaces appear as … Web3 de jun. de 2008 · We compute the integral cohomology of the minimal nontrivial nilpotent orbit in a complex simple (or quasi-simple) Lie algebra. We find by a uniform approach …
On the geometry of nilpotent orbits
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WebIn the world of singular Poisson geometry, the closures of principal holomorphic nilpotent orbits, positive definite hermitian JTS', and certain pre-homogeneous spaces appear as different incarnations of the same structure.The closure of the principal holomorphic nilpotent orbit arises from a semisimple holomorphic orbit by contraction. WebIn this paper we obtain various results about the geometry of nilpotent orbits. In particular, we obtain a better understanding of the Kostant-Sekiguchi correspondence and …
WebInternational Press of Boston, Inc. WebNilpotent orbits are finite in number. The Zariski closure of a nilpotent orbit is a union of nilpotent orbits. Jacobson–Morozov theorem: over a field of characteristic zero, any …
WebThis occurs in the context of hyperkähler geometry. The polarization is complex and in fact makes the orbit into a (positive) Kähler manifold. We study the geometry of this Kähler structure, the Vergne diffeomorphism, and the Hamiltonian functions giving the symmetry. We indicate how all this fits into a quantization program. Web19 de dez. de 2002 · Abstract: We organize the nilpotent orbits in the exceptional complex Lie algebras into series using the triality model and show that within each series the …
Webp-adic Hodge structure analogous to the complex case. We show that any nilpotent orbit in the period domain of Hodge-Tate structures convergesto a semistable point (filtration) in the period domain of the p-adic Hodge structure. Furthermore, the nilpotent orbits of the limit point are asymptotic to the twisted period map [Theorem 3.2].
WebWe study the Ricci tensor of left-invariant pseudoriemannian metrics on Lie groups. For an appropriate class of Lie groups that contains nilpotent Lie groups, we introduce a variety with a natural $\mathrm{GL}(n,\mathbb{R})$ action, whose orbits parametrize Lie groups with a left-invariant metric; we show that the Ricci operator can be identified with the … greatest ideasWeb15 de jan. de 2003 · Let O be a nilpotent orbit in a semisimple complex Lie algebra g.Denote by G the simply connected Lie group with Lie algebra g.For a G-homogeneous covering M→ O, let X be the normalization of O in the function field of M.In this Note, we study the existence of symplectic resolutions for such coverings X.To cite this article: B. … greatest ideal in the life of every citizenWeb2 de nov. de 2004 · In this paper we obtain various results about the geometry of nilpotent orbits. In particular, we obtain a better understanding of the Kostant-Sekiguchi correspondence and Kronheimer's instanton... greatest idea in the world bookhttp://home.kias.re.kr/MKG/upload/Baohua_Fu.pdf greatest idiomsWebis nilpotent if and only if, ad x: y![x;y] for all y 2g C,isa nilpotent endomorphism of g C. Kostant (see also Dynkin [Dy]) has shown, in his fundamental 1959 paper [Ko], that the number of nilpotent orbits of G C in g C is nite. The Bala-Carter classi cation can be expressed as follows: There is a one-to-one correspondence between nilpotent ... greatest idea in the world kids bookWebSection 6 is exclusively concerned with nilpotent adjoint orbits and their properties. It begins with 6.1, in which nilpotent orbits are defined and then characterized in several … greatest ideas for belt tensionWeb6 de nov. de 1998 · The first obstacle in building a Geometric Quantization theory for nilpotent orbits of a real semisimple Lie group has been the lack of an invariant … greatest ice hockey players ever