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...

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...

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

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...

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...

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...

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

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...

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

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...

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...

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

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...

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)...

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...

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

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...

Borel, Armand (2001), Essays in the History of Lie Groups and Algebraic Groups, American Mathematical Society, ISBN 978-0-8218-0288-5. Borel, Armand;...

inclusion onto an open subset. This inclusion is called the Borel embedding after Armand Borel. In fact P ∩ H = K = P ∩ H*. The images of H and H* have the...

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...

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...

Arbeitstagung in Bonn, in 1957. It appeared in print in a paper written by Armand Borel with Serre. This result was his first work in algebraic geometry. Grothendieck...

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...

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

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

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...

the Weyl group cannot always be realized as a subgroup of G. If B is a Borel subgroup of G, i.e., a maximal connected solvable subgroup and a maximal...

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...

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...