As A Universal Enveloping Algebra
The symmetric algebra S(V) is the universal enveloping algebra of an abelian Lie algebra, i.e. one in which the Lie bracket is identically 0.
Read more about this topic: Symmetric Algebra
Famous quotes containing the words universal, enveloping and/or algebra:
“I had rather believe all the fables in the Legend, and the Talmud, and the Alcoran, than that this universal frame is without a Mind; and, therefore, God never wrought miracle to convince atheism, because his ordinary works convince it.”
—Francis Bacon (1561–1626)
“Our religion vulgarly stands on numbers of believers. Whenever the appeal is made—no matter how indirectly—to numbers, proclamation is then and there made, that religion is not. He that finds God a sweet, enveloping presence, who shall dare to come in?”
—Ralph Waldo Emerson (1803–1882)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)