Pierre Gabriel
Encyclopedia
Pierre Gabriel is a mathematician at Universität Zürich who works on category theory
, algebraic group
s, and representation theory
of algebras. He was elected a correspondent member of the French Academy of Sciences
in November 1986.
Category theory
Category theory is an area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows , where these collections satisfy certain basic conditions...
, algebraic group
Algebraic group
In algebraic geometry, an algebraic group is a group that is an algebraic variety, such that the multiplication and inverse are given by regular functions on the variety...
s, and representation theory
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studiesmodules over these abstract algebraic structures...
of algebras. He was elected a correspondent member of the French Academy of Sciences
French Academy of Sciences
The French Academy of Sciences is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research...
in November 1986.
See also
- Gabriel's theoremGabriel's theoremIn mathematics, Gabriel's theorem, proved by Pierre Gabriel, classifies the quivers of finite type in terms of Dynkin diagrams.-Statement:A quiver is of finite type if it has only finitely many isomorphism classes of indecomposable representations. classified all quivers of finite type, and also...
- Gabriel filter
- Gabriel composition of filters
- Gabriel localization
- Gabriel multiplication
- Gabriel–Rosenberg reconstruction theorem
- Gabriel–Popescu embedding theorem
- Gabriel’s property