Examples of using Representation theory in English and their translations into Bulgarian
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Hence 1897 is the year in which the representation theory of groups was born.
Sparse representation theory puts forward an emerging, highly effective, and universal such model.
In particular he spoke about partitions and their connection to representation theory:-.
While on the theme of representation theory of algebras, Dieter Happel reviewing[2] writes:-.
The authors of write about his contributions to the representation theory of algebras.
He also studied the representation theory of the symmetric group due to Frobenius and Burnside.
A visit to China in 1986 saw him help establish a successful research group on representation theory.
Instead, we spent many hours exploring examples of the representation theory ideas that were evolving in his mind.
It was a burst of activity which set up the foundations of the whole of the machinery of representation theory.
This book covers in a concise manner the fine structure and representation theory of compact Lie groups, with emphasis on the classical groups.
A collection of far-reaching and uncannily accurate conjectures relating number theory, automorphic forms, and representation theory.
He also studied quantum mechanics and some of the problems in representation theory he considered were motivated by this.
Our research includes representation theory of reductive groups, Kac-Moody algebras, quantum groups, and conformal field theory. .
In 1975 he visited Mexico setting up a research group there on the representation theory of Artin algebras.
This work followed on from the representation theory of finite groups by Frobenius and Schur and the representation theory of compact groups by Weyl.
Among other important work,Krein wrote eight papers on harmonic analysis and representation theory in the 1940s.
When Maurice Auslander entered representation theory he was already a widely known mathematician with important contributions in commutative and homological algebra.
They show clearly the insight andinfluence of Auslander on the directions and developments of representation theory of Artin algebras.
Schur is mainly known for his fundamental work on the representation theory of groups but he also worked in number theory, analysis and other topics described below.
After a year in Berlin, Shoda went to Göttingen where he joined Emmy Noether 's school,attending her lectures on hypercomplex systems and representation theory.
The school which Schur built at Berlin was of major importance not only for the representation theory of groups but, as indicated above, for other areas of mathematics.
The necessary extension of representation theory was published by the author in a previous paper[The representation of a finite group as a group of automorphisms on a finite Abelian group(1950)].
Robert Langlands is awarded for his programme linking representation theory to number theory. .
Frobenius's representation theory for finite groups was later to find important applications in quantum mechanics and theoretical physics which may not have entirely pleased the man who had such"pure" views about mathematics.
Schur is now known mainly for his fundamental contributions to the representation theory of groups, but he also worked in other areas of algebra, including matrices, number theory, and analysis.
The study of rings that are not necessarily commutative isknown as noncommutative algebra; it includes ring theory, representation theory, and the theory of Banach algebras.
Langlands' astounding insight has provided a whole generation of mathematicians working in automorphic forms and representation theory with a seemingly unlimited expanse of deep, interesting, and above all approachable problems to work away on.
The Mathematics department at Boston College offers a selective and focused doctoral program for talented students specializing in three broad research areas: Geometry/Topology,Number Theory/Representation Theory, and Algebraic Geometry.
The positive side of his appointment was undoubtedly his remarkable contributions to the representation theory of groups, in particular his development of character theory, and his position as one of the leading mathematicians of his day.
Aleksandrov and Urysohn had made a conjecture in 1923 concerning necessary and sufficient conditions for a Hausdorff space to be compact andthis was not proved until 1935 when M H Stone gave an exceedingly complicated proof using representation theory of Boolean algebras.