On the geometry of nilpotent orbits
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. WebFor 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.
On the geometry of nilpotent orbits
Did you know?
WebInternational Press of Boston, Inc. 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 …
WebJared. 30.9k 10 57 137. 6. Fun fact: the equation A n = 0 defines some ideal in the polynomial algebra on n 2 variables. So does the equation ch ( A) = A n where ch is the characteristic polynomial, which also describes nilpotent matrices. These are not the same ideal! (Although their radicals are the same.) – Qiaochu Yuan. 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.
WebOn the geometry of nilpotent orbits. Special Volume in Honor of Michael Attiyah, Asian J. Math. 1999;8:233. Powered by Pure , Scopus & Elsevier Fingerprint Engine™ © 2024 … 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 …
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 …
WebOn Q-factorial terminalizations of nilpotent orbits Baohua Fu November 24, 2008 1 Introduction Letgbeacomplex simple LiealgebraandGits adjointgroup. ... For the birational geometry, unlike the classical case proven by Y. Namikawa, two new types of flops ap-pear here, which we call Mukai flops of type EI 6,I and E II polyp in the right maxillary sinusWebWe 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 … polyp in the earWebKeywords: Nilpotent orbits; Birational geometry; Mukai flops; Induced orbits; Springer map; Terminal singularities 0. Introduction Let Gbe a complex simple algebraic group and let g be its Lie algebra. A nilpotent orbit O in g is an orbit of a nilpotent element of g by the adjoint action of G on g. Then O admits a natural shanneitha starksWeb6 de nov. de 2006 · We shall first construct a deformation of the nilpotent orbit closure in a canonical manner according to Brieskorn and Slodowy, and next describe all its crepant … shanne herb-plusWebIn 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. shannedoa cabinet palnnerhttp://home.kias.re.kr/MKG/upload/Baohua_Fu.pdf shannel adams npiWebNilpotent 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 nilpotent element e can be included into an sl 2-triple {e,h,f} and all such triples are conjugate by Z G (e), the centralizer of e in G. polyp in throat cancer