منابع مشابه
Invariants of finite group schemes
Let k be an algebraically closed field, G a finite group scheme over k operating on a scheme X over k. Under assumption that X can be covered by G-invariant affine open subsets the classical results in [3] and [14] describe the quotient X/G. In case of a free action X is known to be a principal homogeneous G-space over X/G. Furthermore, the category of G-linearized quasi-coherent sheaves of OX ...
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1. Tate’s theorem 2 Exercises 5 2. Introduction to group schemes 5 Definition (as a functor) 6 Definition (as a group object) 6 Examples of group schemes 8 Rank and the augmentation ideal 9 Subgroup schemes, morphisms and kernels 11 Diagonalizable group schemes 13 Constant group schemes 14 Exercises 14 3. Duality and Deligne’s theorem 16 Cartier duality 16 Deligne’s theorem 19 Exercises 22 4. É...
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Two Hopf algebras are called monoidally Morita equivalent if module categories over them are equivalent as linear monoidal categories. We introduce monoidal Morita invariants for finite-dimensional Hopf algebras based on certain braid group representations arising from the Drinfeld double construction. As an application, we show, for any integer n, the number of elements of order n is a monoida...
متن کاملDeformations of Simple Finite Group Schemes
Simple finite group schemes over an algebraically closed field of positive characteristic p 6= 2, 3 have been classified. We consider the problem of determining their infinitesimal deformations. In particular, we compute the infinitesimal deformations of the simple finite group schemes of height one corresponding to the restricted simple Lie algebras.
متن کاملLie Group Stability of Finite Difference Schemes
Differential equations arising in fluid mechanics are usually derived from the intrinsic properties of mechanical systems, in the form of conservation laws, and bear symmetries, which are not generally preserved by a finite difference approximation, and leading to inaccurate numerical results. This paper proposes a method that enables us to build a scheme that preserves some of those symmetries.
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2002
ISSN: 0024-6107,1469-7750
DOI: 10.1112/s0024610701002903