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 simply denoted by formula_77.) The homomorphisms theorem (mentioned above as part of the Lie group-Lie algebra correspondence) then says that if formula_78 is the simply connected Lie group whose Lie algebra is formula_56, "every" representation of formula_56 comes from a representation of "G". The assumption that "G" be simply connected is essential. Consider, for example, the rotation group SO(3), which is not simply connected. There is one irreducible representation of the Lie algebra in each dimension, but only the odd-dimensional representations of the Lie algebra come from representations of the group. (This observation is related to the distinction between integer