Air transportation in the Philippines Air transportation in the Philippines Air transportation in the Philippines goes back to the early days of aviation prior to World War II, during the American colonial period of the Philippines. Currently, the Philippines has several registered airline companies, but they are mostly chartered. There are two main domestic airline groups doing business as Philippine Airlines and Cebu Pacific, with AirAsia Philippines competing on some international routes. The domestic market is dominated by the Cebu Pacific group which has a 61% market share, followed by the Philippine Airlines group which has 29%, followed by AirAsia, having a 9% share. Prior
Lie group–Lie algebra correspondence Lie group–Lie algebra correspondence In mathematics, Lie group–Lie algebra correspondence allows one to study Lie groups, which are geometric objects, in terms of Lie algebras, which are linear objects. In this article, a Lie group refers to a real Lie group. For the complex and "p"-adic cases, see complex Lie group and "p"-adic Lie group. In this article, manifolds (in particular Lie groups) are assumed to be second countable; in particular, they have at most countably many connected components. There are various ways one can understand the construction of the Lie algebra of a Lie group "G". One approach uses