Lie Group of Spacetime
نویسندگان
چکیده
منابع مشابه
geometrical categories of generalized lie groups and lie group-groupoids
in this paper we construct the category of coverings of fundamental generalized lie group-groupoid associatedwith a connected generalized lie group. we show that this category is equivalent to the category of coverings of aconnected generalized lie group. in addition, we prove the category of coverings of generalized lie groupgroupoidand the category of actions of this generalized lie group-gro...
متن کاملThe Automorphism Group of a Lie Group
Introduction. The group A (G) of all continuous and open automorphisms of a locally compact topological group G may be regarded as a topological group, the topology being defined in the usual fashion from the compact and the open subsets of G (see §1). In general, this topological structure of A(G) is somewhat pathological. For instance, if G is the discretely topologized additive group of an i...
متن کاملLie Group Methods *
Definition 1.1. [Ol] An m-dimensional manifold M is a topological space covered by a collection of open subsets Wα ⊂M (coordinate charts) and maps Xα : Wα → Vα ⊂ R one-to-one and onto, where Vα is an open, connected subset of R. (Wα,Xα) define coordinates on M. M is a smooth manifold if the maps Xαβ = Xβ ◦X−1 α , are smooth where they are defined, i.e. on Xα(Wα ∩Wβ) to Xβ(Wα ∩Wβ). Example 1.2. ...
متن کاملStochastic Lie Group Integrators
We present Lie group integrators for nonlinear stochastic differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. Given a Lie group action that generates transport along the manifold, we pull back the stochastic flow on the manifold to the Lie group via the action, and subsequently pull back the flow to the corresponding Lie alge...
متن کاملA Lie Group
These notes introduce SU (2) as an example of a compact Lie group. The definition of SU (2) is SU (2) = A A a 2 × 2 complex matrix, det A = 1, AA * = A * A = 1l In the name SU (2), the " S " stands for " special " and refers to the condition det A = 1 and the " U " stands for " unitary " and refers to the conditions AA * = A * A = 1l. The adjoint matrix A * is the complex conjugate of the trans...
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: ISRN Astronomy and Astrophysics
سال: 2011
ISSN: 2090-4738,2090-4746
DOI: 10.5402/2011/873830