Examples of using Representation theory in English and their translations into Russian
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The set of all invertible n× n matrices is a group under matrix multiplication and the representation theory of groups analyzes a group by describing("representing")
it includes ring theory, representation theory, and the theory of Banach algebras.
work in geometry, representation theory, dynamical systems,
The algebraic objects to which representation theory applies can be viewed as particular kinds of categories,
number theory, representation theory, and algebraic geometry.
this ring plays an important role in the representation theory of the symmetric groups.
Representation theory is a useful method because it reduces problems in abstract algebra to problems in linear algebra,
he received the Fields Medal"for his contributions to bridging probability, representation theory and algebraic geometry.
leading to a representation theory of Lie algebras.
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces.
sheaf theory and representation theory.
Valentine Bargmann made substantial contributions both to general representation theory and in particular to the Lorentz group.
Graph representation theory as intersection graphs with a particular emphasis on line graphs of hypergraphs;
His greatest honour is the award of a Fields medal"for his contributions to bridging probability, representation theory and algebraic geometry" 2006.
is a Russian-American mathematician working in representation theory, algebraic geometry,
Representation theory for Banach algebras,
dynamical systems, representation theory, functional analysis
From the point of view that the goal of mathematics is to classify and characterize, the representation theory of the Lorentz group is since 1947 a finished chapter.
The Lorentz group has also historically received special attention in representation theory, see History of infinite-dimensional unitary representations below,
In the early days of the classification there was considerable effort made to use representation theory, but this never achieved much success in the higher rank case.