On the geometry of nilpotent orbits
WebW. Hesselink,Singularities in the nilpotent scheme of a classical group, Trans. Am. Math. Soc.222 (1976), 1–32. Article MATH MathSciNet Google Scholar H. Kraft and C. … Web1 de jun. de 2024 · We study the quantizations of the algebras of regular functions on nilpo- tent orbits. We show that such a quantization always exists and is unique if the orbit is …
On the geometry of nilpotent orbits
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WebIn the case of nilpotent orbits of pure Hodge structures in one variable, a split orbit is the same thing as SL 2-orbit: If Dis a period domain upon which the Lie group G R acts transitively by automorphisms then a nilpotent orbit (z) with values in Dis an SL 2-orbit if there exists a representation ˆ: SL 2(R) !G R such that (1.2) (g: p 1 ... http://www.seminariomatematico.polito.it/rendiconti/71-1/35.pdf
Webcentral character for all special nilpotent orbits but one (in E8). Our main ingredient are results on the geometry of normalizations of the closures of nilpotent orbits by Fu and Namikawa. 1. Introduction 1.1. Nilpotent orbits and their quantizations Let G be a connected semisimple algebraic group over C and let g be its Lie algebra. 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 …
Webnilpotent orbits (1962), places him as the founder of orbit theory. The original research papers in this volume are written by prominent mathematicians and reflect recent achievements in orbit theory and other closely related areas such as harmonic analysis, classical representation theory, Lie superalgebras, Poisson geometry, and quantization. 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 …
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 …
Web15 de fev. de 2010 · This is a survey article prepared for the submission to "Handbook of moduli". The following topics are discussed: (i) Basic facts and examples of resolutions … how to start a car dealership stepsWebFor example, these orbits have a linear ordering with respect to the closure relation, and $ K_{\mathbb C} $ acts on them in multiplicity-free manner. We clarify the $ K_{\mathbb C} $ -module structure of the regular function ring of the closure of these nilpotent orbits in detail, and prove the normality. how to start a car boot saleWebp-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]. how to start a car insurance businesshttp://www2.math.umd.edu/~pbrosnan/Papers/zucker.pdf how to start a car hauling businessWebW. Hesselink,Singularities in the nilpotent scheme of a classical group, Trans. Am. Math. Soc.222 (1976), 1–32. Article MATH MathSciNet Google Scholar H. Kraft and C. Procesi,On the geometry of conjugacy classes in classical … reach pvcWebof the set of nilpotent orbits, which have many good properties. Nilpotent orbits in the image of the duality are called special orbits. The duality is an involution when restricted to the … how to start a car detailWebNilpotent 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 … how to start a car dealership with no money