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, mathematical structure, structure, space, Mathematica ...
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.
...
. The
Bruhat order 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 ...
, 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 princip ...
, and the
Schwartz–Bruhat functions 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
Secondary education or post-primary education covers two phases on the International Standard Classification of Education sca ...
during the
occupation)
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 École ...
, 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 Einstein's general theory of relativity, by showing that the Einstein equations can be put into the form ...
.
See also
*
Hadamard space
In geometry, an Hadamard space, named after Jacques Hadamard, is a non-linear generalization of a Hilbert space. In the literature they are also equivalently defined as complete CAT(0) spaces.
A Hadamard space is defined to be a nonempty complete ...
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
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