enveloping field
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Universal enveloping algebra — In mathematics, for any Lie algebra L one can construct its universal enveloping algebra U ( L ). This construction passes from the non associative structure L to a (more familiar, and possibly easier to handle) unital associative algebra which… … Wikipedia
Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… … Wikipedia
Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single … Wikipedia
World War I — the war fought mainly in Europe and the Middle East, between the Central Powers and the Allies, beginning on July 28, 1914, and ending on November 11, 1918, with the collapse of the Central Powers. Abbr.: WWI Also called Great War, War of the… … Universalium
C*-algebra — C* algebras (pronounced C star ) are an important area of research in functional analysis, a branch of mathematics. The prototypical example of a C* algebra is a complex algebra A of linear operators on a complex Hilbert space with two additional … Wikipedia
Free Lie algebra — In mathematics, a free Lie algebra, over a given field K, is a Lie algebra generated by a set X, without any imposed relations. Contents 1 Definition 2 Universal enveloping algebra 3 Hall sets … Wikipedia
World War II — the war between the Axis and the Allies, beginning on September 1, 1939, with the German invasion of Poland and ending with the surrender of Germany on May 8, 1945, and of Japan on August 14, 1945. Abbr.: WWII * * * or Second World War (1939–45)… … Universalium
Verma module — Verma modules, named after Daya Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. The definition of a Verma module looks complicated, but Verma modules are very natural objects, with useful properties … Wikipedia
ZIONISM — This article is arranged according to the following outline: the word and its meaning forerunners ḤIBBAT ZION ROOTS OF ḤIBBAT ZION background to the emergence of the movement the beginnings of the movement PINSKER S AUTOEMANCIPATION settlement… … Encyclopedia of Judaism
Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… … Wikipedia
Butcher group — In mathematics, the Butcher group, named after the New Zealand mathematician John C. Butcher by Hairer Wanner (1974), is an infinite dimensional group first introduced in numerical analysis to study solutions of non linear ordinary differential… … Wikipedia
