Sheaf representations and graded manifolds

نویسندگان

چکیده

برای دانلود رایگان 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

Manifolds with Multiplication on the Tangent Sheaf

This talk reviews the current state of the theory of F–(super)manifolds (M, ◦), first defined in [HeMa] and further developed in [He], [Ma2], [Me1]. Here ◦ is an OM–bilinear multiplication on the tangent sheaf TM , satisfying an integrability condition. F–manifolds and compatible flat structures on them furnish a useful weakening of Dubrovin’s Frobenius structure which naturally arises in the q...

متن کامل

Graded Simple Lie Algebras and Graded Simple Representations

For any finitely generated abelian group Q, we reduce the problem of classification of Q-graded simple Lie algebras over an algebraically closed field of “good” characteristic to the problem of classification of gradings on simple Lie algebras. In particular, we obtain the full classification of finite-dimensional Q-graded simple Lie algebras over any algebraically closed field of characteristi...

متن کامل

A Remark on Sheaf Theory for Non-hausdorr Manifolds

Much of sheaf theory can be developed for arbitrary topological spaces. This applies, for example , to the deenition of 'sheaf' itself, to the existence of injective resolutions, to the properties of the operations f and f associated to a continuous map f : Y ?! X, etc, etc. On the other hand, there is a very basic part of the theory which seems to depend crucially on the Hausdorr property (tog...

متن کامل

Tight Combinatorial Manifolds and Graded Betti Numbers

In this paper, we study the conjecture of Kühnel and Lutz, who state that a combinatorial triangulation of the product of two spheres S×S with j ≥ i is tight if and only if it has exactly i+2j+4 vertices. To approach this conjecture, we use graded Betti numbers of Stanley–Reisner rings. By using recent results on graded Betti numbers, we prove that the only if part of the conjecture holds when ...

متن کامل

Representations of Graded Hecke Algebras

Representations of affine and graded Hecke algebras associated to Weyl groups play an important role in the Langlands correspondence for the admissible representations of a reductive p-adic group. We work in the general setting of a graded Hecke algebra associated to any real reflection group with arbitrary parameters. In this setting we provide a classification of all irreducible representatio...

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: Journal of Pure and Applied Algebra

سال: 1987

ISSN: 0022-4049

DOI: 10.1016/0022-4049(87)90047-8