영어에서 Representation theory 을 사용하는 예와 한국어로 번역
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Representation theory.
Hence 1897 is the year in which the representation theory of groups was born.
Representation Theory of Artin Algebras.
The authors of write about his contributions to the representation theory of algebras.
Steinberg, Representation Theory of Finite Groups.
In particular he spoke about partitions and their connection to representation theory.
While on the theme of representation theory of algebras, Dieter Happel reviewing writes.
A visit to China in 1986 saw him help establish a successful research group on representation theory.
He also studied the representation theory of the symmetric group due to Frobenius and Burnside.
Humphreys, Introduction to Lie Algebras and Representation Theory, Springer, 1972.
Representation Theory and Noncommutative Harmonic Analysis I: Fundamental Concepts.
In 1975 he visited Mexico setting up a research group there on the representation theory of Artin algebras.
Representation Theory and Noncommutative Harmonic Analysis I: Fundamental Concepts.
Among other important work, Krein wrote eight papers on harmonic analysis and representation theory in the 1940s.
Takagi lectured on group theory, representation theory, Galois theory, and algebraic number theory. .
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.
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.
Maurice Auslander's contributions to the modern representation theory of algebras as well as to other fields of mathematics were deep and influential.
Of course, quantum physics had from the beginning a marked influence in many areas of mathematics- functional analysis and representation theory, to mention just two….
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.
Zassenhaus worked on a broad range of topics and, in addition to those mentioned above,he worked on nearfields, the theory of orders, representation theory, the geometry of numbers and the history of mathematics.
Schur returned to work on representation theory with renewed vigour and he was able to complete the programme of research begun in his doctoral dissertation and give a complete description of the rational representations of the general linear group.
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.
These included(in addition to knots and links) that part of statistical mechanics having to dowith exactly solvable models, the very new area of quantum groups, and also Dynkin diagrams and the representation theory of simple Lie algebras.
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.
He also studied invariant integrals for SO(n, R) and SL(n, R) and Slodowy describes in how this work,together with Schur 's work on orthogonality relations and the character formula for the orthogonal groups, led to Weyl 's papers on the representation theory of semisimple Lie groups.
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.
In his second year of study Iyanaga took further courses by Takagi which developed group theory, representation theory, Galois theory, and algebraic number theory. .
This last volume, which still shows Schur 's influence, strikes a good balance between the abstract approach to representation theory emphasising modules, and the concrete approach built around matrices.