Philippines a form of illegal gambling. Mahjong is played in some Philippine communities. Sabong or cockfighting is another popular entertainment especially among Filipino men, and existed prior to the arrival of the Spanish. Antonio Pigafetta, Magellan's chronicler, first documented this pastime in the kingdom of Taytay. The yo-yo, a popular toy in the Philippines, was introduced in its modern form by Pedro Flores with its name coming from the Ilocano language. Philippines The Philippines ( ; or ' ), officially the Republic of the Philippines (), is an archipelagic country in Southeast Asia. Situated in the western Pacific Ocean, it consists
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