François Georges René Bruhat (; 8 April 1929 – 17 July 2007) was a French

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

who worked on

algebraic groups In mathematics, an algebraic group is an algebraic variety endowed with a group structure which is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs both to algebraic geometry and group theory. M ...

. The

Bruhat order In mathematics, the Bruhat order (also called strong order or strong Bruhat order or Chevalley order or Bruhat–Chevalley order or Chevalley–Bruhat order) is a partial order on the elements of a Coxeter group, that corresponds to the inclusion or ...

of a

Weyl group In mathematics, in particular the theory of Lie algebras, the Weyl group (named after Hermann Weyl) of a root system Φ is a subgroup of the isometry group of that root system. Specifically, it is the subgroup which is generated by reflections th ...

, the

Bruhat decomposition In mathematics, the Bruhat decomposition (introduced by François Bruhat for classical groups and by Claude Chevalley in general) ''G'' = ''BWB'' of certain algebraic groups ''G'' into cells can be regarded as a general expression of the principle ...

, and the

Schwartz–Bruhat function In mathematics, a Schwartz–Bruhat function, named after Laurent Schwartz and François Bruhat, is a complex valued function on a locally compact abelian group, such as the adeles, that generalizes a Schwartz function on a real vector space. A t ...

s are named after him. He was the son of physicist (and associate director of the

École Normale Supérieure École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...

during the

occupation Occupation commonly refers to: *Occupation (human activity), or job, one's role in society, often a regular activity performed for payment *Occupation (protest), political demonstration by holding public or symbolic spaces *Military occupation, th ...

)

Georges Bruhat Georges Bruhat (21 December 18871 January 1945In the dedication by Yvonne Choquet-Bruhat: The date is given as December 31, 1944 in .) was a French physicist. Life and academic career Bruhat studied physics from 1906 until 1909 at the Écol ...

, and brother of physicist

Yvonne Choquet-Bruhat Yvonne Choquet-Bruhat (; born 29 December 1923) is a French mathematician and physicist. She has made seminal contributions to the study of General relativity, Einstein's general theory of relativity, by showing that the Einstein field equations, ...

References

*

1929 births 2007 deaths École Normale Supérieure alumni Members of the French Academy of Sciences Nicolas Bourbaki 20th-century French mathematicians 21st-century French mathematicians {{France-mathematician-stub

See also

References