fiber bundles and lie algebras of top spaces
نویسندگان
چکیده
in this paper, by using of frobenius theorem a relation between lie subalgebras of the lie algebra of a top space t and lie subgroups of t(as a lie group) is determined. as a result we can consider these spaces by their lie algebras. we show that a top space with the finite number of identity elements is a c^{∞} principal fiber bundle, by this method we can characterize top spaces.
منابع مشابه
Fiber bundles and Lie algebras of top spaces
In this paper, by using of Frobenius theorem a relation between Lie subalgebras of the Lie algebra of a top space T and Lie subgroups of T(as a Lie group) is determined. As a result we can consider these spaces by their Lie algebras. We show that a top space with the finite number of identity elements is a C^{∞} principal fiber bundle, by this method we can characterize top spaces.
متن کاملLie algebras of a class of top spaces
In this paper 1-dimensional and 2-dimensional top spaces with finite numbers of identities and connected Lie group components are characterized. MF-semigroups are determined. By using of the left-invariant vector fields of top spaces and their one-parameter subgroups, a relation between the Lie algebras of a class of top spaces and the Lie algebras of a class of Lie groups is determined. As a r...
متن کاملLie Algebras, 2-Groups and Cotriangular Spaces
We describe the construction of a Lie algebra from a partial linear space with oriented lines of size 3, generalizing a construction by Kaplansky. We determine all suitable partial linear spaces and the resulting Lie algebras. 1 Lie oriented partial linear spaces A partial linear space is an incidence structure (P,L) with points and lines, such that the point-line incidence graph does not conta...
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولLie Algebras Associated to Fiber-type Arrangements
Given a hyperplane arrangement in a complex vector space of dimension l, there is a natural associated arrangement of codimension k subspaces in a complex vector space of dimension kl. Topological invariants of the complement of this subspace arrangement are related to those of the complement of the original hyperplane arrangement. In particular, if the hyperplane arrangement is fiber-type, the...
متن کاملUhlenbeck Spaces via Affine Lie Algebras
Let G be an almost simple simply connected group over C, and let BunaG(P ,P) be the moduli scheme of principal G-bundles on the projective plave P, of second Chern class a, trivialized along a line P ⊂ P. We define the Uhlenbeck compactification U G of BunaG(P , P), which classifies, roughly, pairs (FG,D), where D is a 0-cycle on A 2 = P − P of degree b, and FG is a point of Bun G (P,P), for va...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 39
شماره 4 2013
کلمات کلیدی
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023