Cohomogeneity-Three HyperKähler Metrics on Nilpotent Orbits

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quaternionic K Ahler Metrics and Nilpotent Orbits

Given a geometric structure on a manifold it is natural to ask what are the symmetries of that structure and what are the examples of such structures with a big group of symmetries. In this talk I wish to start by discussing such questions for quaternionic KK ahler manifolds. Let M be a quaternionic KK ahler manifold, that is a manifold whose holonomy is contained in Sp(n) Sp(1), the subgroup o...

متن کامل

Quantization of Nilpotent Coadjoint Orbits Quantization of Nilpotent Coadjoint Orbits Quantization of Nilpotent Coadjoint Orbits

Let G be a complex reductive group. We study the problem of associating Dixmier algebras to nilpotent (co)adjoint orbits of G, or, more generally, to orbit data for G. If g = 0 + n + in is a triangular decomposition of g and 0 is a nilpotent orbit, we consider the irreducible components of 0 n n, which are Lagrangian subvarieties of 0. The main idea is to construct, starting with certain "good"...

متن کامل

Series of Nilpotent Orbits

We organize the nilpotent orbits in the exceptional complex Lie algebras into series and show that within each series the dimension of the orbit is a linear function of the natural parameter a = 1, 2, 4, 8, respectively for f4, e6, e7, e8. We observe similar regularities for the centralizers of nilpotent elements in a series and graded components in the associated grading of the ambient Lie alg...

متن کامل

Differential Operators on Some Nilpotent Orbits

In recent work, Astashkevich and Brylinski construct some differential operators of Euler degree −1 (thus, they lower the degree of polynomials by one) on the coordinate ring O(Omin(g)) of the minimal nilpotent orbit Omin(g) for any classical, complex simple Lie algebra g. They term these operators “exotic” since there is “(apparently) no geometric or algebraic theory that explains them”. In th...

متن کامل

Hyperkähler Metrics from Projective Superspace 1

This is a brief review of how sigma models in Projective Superspace have become important tools for constructing new hyperkähler metrics. Contribution to “The 27th Winter School GEOMETRY AND PHYSICS”, Czech Republic, Srni, January 13 20, 2007

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annals of Global Analysis and Geometry

سال: 2005

ISSN: 0232-704X,1572-9060

DOI: 10.1007/s10455-005-6636-5