High Quality Content by WIKIPEDIA articles! In mathematics, the term affine Grassmannian has two distinct meanings. In one meaning the affine Grassmannian (manifold) is the manifold of all k-dimensional affine subspaces of a finite dimensional vector space, while (described here) the affine Grassmannian of an algebraic group G over a field k is defined in one of two ways: As the coset space G(K)/G(O), where K = k((t)) is the field of formal Laurent series over k and O = k[[t]] is the ring of...
High Quality Content by WIKIPEDIA articles! In mathematics, the term affine Grassmannian has two distinct meanings. In one meaning the affine Grassmannian (manifold) is the manifold of all k-dimensional affine subspaces of a finite dimensional vector space, while (described here) the affine Grassmannian of an algebraic group G over a field k is defined in one of two ways: As the coset space G(K)/G(O), where K = k((t)) is the field of formal Laurent series over k and O = k[[t]] is the ring of formal power series; As the ind-scheme GrG which is described as a functor by the following data: to every k-algebra A, GrG(A) is the set of isomorphism classes of pairs (E, ?), where E is a principal homogeneous space for G over Spec A[[t]] and ? is an isomorphism, defined over Spec A((t)), of E with the trivial G-bundle G x Spec A((t)). By the Beauville–Laszlo theorem, it is also possible to specify this data by fixing an algebraic curve X over k, a k-point x on X, and taking E to be a G bundle on XA and ? a trivialization on (X ? x)A.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.
Это наша Земля после миротрясения. Земля, лишенная Интернета и мобильных телефонов, застывшая в технологиях на уровне начала 1990-х годов и чувствующая приближение магии. Во время миротрясения Эффи потеряла свою маму, и теперь за ней присматривает дедушка. Когда же он попадает в больницу после жестокого нападения, то завещает Эффи свою коллекцию редких магических книг. Но библиотеку покупает странный...
Оставить комментарий