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 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