Armand Borel (21 May 1923 – 11 August 2003) was a Swiss mathematician, born in La Chaux-de-Fonds, and was a permanent professor at the Institute for Advanced...

Borel may refer to: Antoine Borel (1840–1915), a Swiss-born American businessman Armand Borel (1923–2003), a Swiss mathematician Borel (author), 18th-century...

groups associated to such bundles. It is built on the earlier Borel–Weil theorem of Armand Borel and André Weil, dealing just with the space of sections (the...

the group B is a Borel subgroup and N is the normalizer of a maximal torus contained in B. The notion was introduced by Armand Borel, who played a leading...

The inclusion of illustration in this part of the work was due to Armand Borel. Borel was minority-Swiss in a majority-French collective, and self-deprecated...

measure zero sets (not to be confused with Borel conjecture, named for Armand Borel). Borel also described a poker model that he coins La Relance in his 1938...

1949), American actor Armand Borel (1923–2003), Swiss mathematician, Armand Călinescu (1893–1939), Romanian Prime Minister Armand D'Angour (b. 1958), British...

topology, Borel−Moore homology or homology with closed support is a homology theory for locally compact spaces, introduced by Armand Borel and John Moore...

Baily and Armand Borel (1964, 1966). If C is the quotient of the upper half plane by a congruence subgroup of SL2(Z), then the Baily–Borel compactification...

In topology, a branch of mathematics, Borel's theorem, due to Armand Borel (1953), says the cohomology ring of a classifying space or a classifying stack...

theorists such as Duncan & Luce, and even earlier works by mathematician Armand Borel. Because social dynamics focuses on individual level behavior, and recognizes...

Hans Grauert, Nicolaas Kuiper, Raoul Bott, John Milnor, Stephen Smale, Armand Borel, Shiing-Shen Chern, Kunihiko Kodaira, Donald Spencer, Michael Atiyah...

In geometric topology, the Borel conjecture (named for Armand Borel) asserts that an aspherical closed manifold is determined by its fundamental group...

Borel fixed-point theorem is a fixed-point theorem in algebraic geometry generalizing the Lie–Kolchin theorem. The result was proved by Armand Borel (1956)...

groups include Maurer, Chevalley, and Kolchin (1948). In the 1950s, Armand Borel constructed much of the theory of algebraic groups as it exists today...

theory, a Borel subalgebra of a Lie algebra g {\displaystyle {\mathfrak {g}}} is a maximal solvable subalgebra. The notion is named after Armand Borel. If the...

Grothendieck gave a first proof in a 1957 manuscript, later published. Armand Borel and Jean-Pierre Serre wrote up and published Grothendieck's proof in...

theory. Severino Coutinho (1995) gives an elementary introduction, while Armand Borel (1987) and Masaki Kashiwara (2003) give more advanced accounts. If f...

Leray at the Mathematics Genealogy Project "Jean Leray (1906–1998)", by Armand Borel, Gennadi M. Henkin, and Peter D. Lax, Notices of the American Mathematical...

André Borel d'Hauterive (1812–1896), French historian Armand Borel (1923–2003), Swiss mathematician Calvin Borel, American jockey Cleopatra Borel (born...

studied in representation theory. In the 1940s–1950s, Ellis Kolchin, Armand Borel, and Claude Chevalley realised that many foundational results concerning...

Weil. André Weil, by A. Borel, Bull. AMS 46 (2009), 661–666. André Weil: memorial articles in the Notices of the AMS by Armand Borel, Pierre Cartier, Komaravolu...

groups by Ono (1957) followed the algebraic group theory founded by Armand Borel and Harish-Chandra. An important example, the idele group (ideal element...

isolation. On the day after a conference organized for him and mathematician Armand Borel took place, Mehrotra died from his final heart attack. Langlands, Robert...

contain a maximal torus. It is named after the Swiss mathematicians Armand Borel and Jean de Siebenthal who developed the theory in 1949. Each such subgroup...

algebras and their Representations Infinite-dimensional Lie algebras Borel, Armand (1991), Linear algebraic groups, Graduate Texts in Mathematics, vol...

Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan Hermann Weyl Claude Chevalley Harish-Chandra Armand Borel Glossary Table of Lie groups v t e...

papers on topological K-theory with Michael Atiyah, and collaborated with Armand Borel on the theory of characteristic classes. In his later work, he provided...

since they think of and talk of their objects of study as real objects. Armand Borel summarized this view of mathematics reality as follows, and provided...

begin foundational work was needed, and was provided by the work of Armand Borel, André Weil, Jacques Tits and others on algebraic groups. Shortly afterwards...