François Bruhat
Encyclopedia
François Georges René Bruhat (8 April 1929 – 17 July 2007) was a French
mathematician
who worked on algebraic groups. The Bruhat order
of a Weyl group
, the Bruhat decomposition
, and the Schwartz–Bruhat functions are named after him.
He was the son of physicist (and associate director of the École Normale Supérieure
during the occupation) Georges Bruhat, and brother of physicist Yvonne Choquet-Bruhat
.
French people
The French are a nation that share a common French culture and speak the French language as a mother tongue. Historically, the French population are descended from peoples of Celtic, Latin and Germanic origin, and are today a mixture of several ethnic groups...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
who worked on algebraic groups. The Bruhat order
Bruhat order
In mathematics, the Bruhat order is a partial order on the elements of a Coxeter group, that corresponds to the inclusion order on Schubert varieties.-History:The Bruhat order on the Schubert varieties of a flag manifold or Grassmannian...
of a Weyl group
Weyl group
In mathematics, in particular the theory of Lie algebras, the Weyl group of a root system Φ is a subgroup of the isometry group of the root system. Specifically, it is the subgroup which is generated by reflections through the hyperplanes orthogonal to the roots, and as such is a finite reflection...
, the Bruhat decomposition
Bruhat decomposition
In mathematics, the Bruhat decomposition G = BWB into cells can be regarded as a general expression of the principle of Gauss–Jordan elimination, which generically writes a matrix as a product of an upper triangular and lower triangular matrices—but with exceptional cases...
, and the Schwartz–Bruhat functions are named after him.
He was the son of physicist (and associate director of the École Normale Supérieure
École Normale Supérieure
The École normale supérieure is one of the most prestigious French grandes écoles...
during the occupation) Georges Bruhat, and brother of physicist Yvonne Choquet-Bruhat
Yvonne Choquet-Bruhat
Yvonne Choquet-Bruhat is a French mathematician and physicist. She was the first woman to be elected to the Académie des Sciences Française and is a Grand Officier of the Légion d'honneur....
.