- Borel field
- борелевское поле
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Borel field
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Borel determinacy theorem — In descriptive set theory, the Borel determinacy theorem shows that any Gale Stewart game whose winning set is a Borel set is determined, meaning that one of the two players will have a winning strategy for the game. It was proved by Donald A.… … Wikipedia
Borel–Weil theorem — In mathematics in the field of representation theory of compact Lie groups, the Borel–Weil theorem provides a concrete model for the irreducible representations as holomorphic sections of certain complex line bundles. It can be considered as a… … Wikipedia
Borel–Bott–Weil theorem — In mathematics, the Borel–Bott–Weil theorem is a basic result in the representation theory of Lie groups, showing how a family of representations can be obtained from holomorphic sections of certain complex vector bundles, and, more generally,… … Wikipedia
Borel fixed-point theorem — In mathematics, the Borel fixed point theorem is a fixed point theorem in algebraic geometry. The result was proved by the Swiss mathematician Armand Borel in 1956.tatement of the theoremLet G be a connected, solvable algebraic group acting… … Wikipedia
Field of values — In matrix theory, the field of values associated with a matrix is the image of the unit sphere under the quadratic form induced by the matrix. More precisely, suppose A is a square matrix with complex entries. The field of values for A is the set … Wikipedia
Cleopatra Borel-Brown — Not to be confused with jazz vocalist Cleo Patra Brown Cleopatra Borel Brown (born 10 March 1979) is a female shot putter from Trinidad and Tobago. Her personal best throw is 19.03 metres, achieved in August 2010 at the London Grand Prix in… … Wikipedia
Michelle Borel — Born April 1983 (age 28) Trinidad and Tobago Michelle Borel (born 13 April 1983, Trinidad and Tobago) is a radio personality, television host and producer. Her voice is known for its sweet, yet sultry sound and as a result has been used … Wikipedia
Deligne–Lusztig theory — In mathematics, Deligne–Lusztig theory is a way of constructing linear representations of finite groups of Lie type using ℓ adic cohomology with compact support, introduced by Deligne Lusztig (1976). Lusztig (1984) used these representations to… … Wikipedia
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
Séminaire Nicolas Bourbaki (1950–1959) — Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. 1950/51 series *33 Armand Borel, Sous groupes compacts maximaux des groupes de Lie, d après Cartan, Iwasawa et Mostow (maximal compact subgroups) *34 Henri Cartan, Espaces… … Wikipedia
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia
