Twisted Kähler differential forms
نویسندگان
چکیده
منابع مشابه
Twisted Ppster Forms
Let F be a eld of characteristic 6 = 2. In this paper we investigate quadratic forms ' over F which are anisotropic and of dimension 2 n , n 2, such that in the Witt ring WF they can be written in the form ' = ? where and are anisotropic n-resp. m-fold PPster forms, 1 m < n. We call these forms twisted PPster forms. Forms of this type with m = n ? 1 are of great importance in the study of so-ca...
متن کاملLogarithmic forms with twisted coefficients
Given a compact Kähler manifold, we consider the complement U of a divisor with normal crossings and a unitary local system g̃ on it. We consider a differential graded Lie algebra of forms with holomorphic logarithmic singularities and vanishing residues. We construct a spectral sequence converging to the L2 cohomology H •(U, g̃)(2) corresponding to the anti-holomorphic filtration of this algebra...
متن کاملTwisted Crystalline Differential Operators
Motivated by the notion of reduced enveloping algebra, we introduce central reductions of universal enveloping Dalgebras of restricted Lie algebroids. In the case of a tangent Lie algebroid the central reductions are sheaves of twisted crystalline differential operators. For a nilpotent p-character of a classical semisimple Lie algebra, we discover a connection between the reduced enveloping al...
متن کاملOrthogonal representations of twisted forms of SL_2
For every absolutely irreducible orthogonal representation of a twisted form of SL 2 over a field of characteristic zero, we compute the " unique " symmetric bilinear form that is invariant under the group action. We also prove the analogous result for Weyl modules in prime characteristic (including characteristic 2) and an isomorphism between two symmetric bilinear forms given by binomial coef...
متن کاملOrthogonal representations of twisted forms of SL_2
For every absolutely irreducible orthogonal representation of a twisted form of SL 2 over a field of characteristic zero, we compute the " unique " symmetric bilinear form that is invariant under the group action. We also prove the analogous result for Weyl modules in prime characteristic (including characteristic 2) and an isomorphism between two symmetric bilinear forms given by binomial coef...
متن کاملذخیره 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: 2003
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(02)00302-x