Mexican settlement in the Philippines territory subject to the designs of Washington, D.C. During the Spanish period, the islands formed part of the Viceroyalty of New Spain, coupled with other areas of the Pacific Ocean such as the Marianas and the Caroline Islands and during a short period in northern Taiwan. The Spaniards made trade routes from Mexico to the Philippines, the main ports of Mexico today to start their starting points were Acapulco and Puerto Vallarta with their final destination to Manila, the current capital of the Philippines. The Spanish ships on these routes were known as the Manila galleons. After the arrival of
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