|
Richard Brauer
Richard Dagobert Brauer (February 10, 1901 – April 17, 1977) was a leading German and American mathematician. He worked mainly in abstract algebra, but made important contributions to number theory. He was the founder of modular representation theory. Education and career Alfred Brauer was Richard's brother and seven years older. They were born to a Jewish family. Both were interested in science and mathematics, but Alfred was injured in combat in World War I. As a boy, Richard dreamt of becoming an inventor, and in February 1919 enrolled in Technische Hochschule Berlin-Charlottenburg. He soon transferred to University of Berlin. Except for the summer of 1920 when he studied at University of Freiburg, he studied in Berlin, being awarded his PhD on 16 March 1926. Issai Schur conducted a seminar and posed a problem in 1921 that Alfred and Richard worked on together, and published a result. The problem also was solved by Heinz Hopf at the same time. Richard wrote his thesi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charlottenburg
Charlottenburg () is a Boroughs and localities of Berlin, locality of Berlin within the borough of Charlottenburg-Wilmersdorf. Established as a German town law, town in 1705 and named after Sophia Charlotte of Hanover, Queen consort of Kingdom of Prussia, Prussia, it is best known for Charlottenburg Palace, the largest surviving royal palace in Berlin, and the adjacent museums. Charlottenburg was an independent city to the west of Berlin until 1920 when it was incorporated into "Greater Berlin Act, Groß-Berlin" (Greater Berlin) and transformed into a borough. In the course of Berlin's 2001 administrative reform it was merged with the former borough of Wilmersdorf becoming a part of a new borough called Charlottenburg-Wilmersdorf. Later, in 2004, the new borough's districts were rearranged, dividing the former borough of Charlottenburg into the localities of Charlottenburg proper, Westend (Berlin), Westend and Charlottenburg-Nord. Geography Charlottenburg is located in Berlin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Peter Landrock
Peter Landrock (born August 20, 1948 in Horsens) is a Danish cryptographer and mathematician. He is known for his contributions to data encryption methods and codes. Landrock has been active since the 1970s as research scientist and faculty member for Cambridge University and the University of Aarhus and others, and was active for Microsoft and Cryptomathic. He has been visiting professor at Oxford University, Leuven University and Princeton University. Background and career Landrock obtained a diploma in mathematics and physics in 1972 from the University of Aarhus. He received his Ph.D. in mathematics from the University of Chicago in 1974 for his research on elementary abelian and dihedral defect groups, under George Isaac Glauberman and Richard Dagobert Brauer. In 1975, Landrock became associate Professor in the Department of Mathematics at Aarhus University, then full Professor. From 1982 until 1983, Landrock was visiting professor at the Institute for Advanced Study in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alfred Brauer
Alfred Theodor Brauer (April 9, 1894 – December 23, 1985) was a German-American mathematician who did work in number theory. He was born in Charlottenburg, and studied at the Humboldt University of Berlin, University of Berlin. As he served Germany in World War I, even being injured in the war, he was able to keep his position longer than many other Jewish academics who had been forced out after Hitler's rise to power.Bergmann, Birgit; Epple, Moritz; and Ungar, Ruti''Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture'' p. 54. Springer, 2012. . Accessed February 25, 2013. "Schur's disciple Alfred Brauer was the last Jewish mathematician who managed to complete his habilitation and become Privatdozent at the University of Berlin before the Nazi regime began." In 1935 he lost his position and in 1938 he tried to leave Germany, but was not able to until the following year. He initially worked in Northeastern United States, the Northeast, but in 1942 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modular Representation Theory
Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups over a field ''K'' of positive characteristic ''p'', necessarily a prime number. As well as having applications to group theory, modular representations arise naturally in other branches of mathematics, such as algebraic geometry, coding theory, combinatorics and number theory. Within finite group theory, character-theoretic results proved by Richard Brauer using modular representation theory played an important role in early progress towards the classification of finite simple groups, especially for simple groups whose characterization was not amenable to purely group-theoretic methods because their Sylow 2-subgroups were too small in an appropriate sense. Also, a general result on embedding of elements of order 2 in finite groups called the Z* theorem, proved by George Glauberman using the theory developed by Brauer, was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abstract Algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term ''abstract algebra'' was coined in the early 20th century to distinguish this area of study from older parts of algebra, and more specifically from elementary algebra, the use of variables to represent numbers in computation and reasoning. Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified way for expressing properties and constructions that are similar for various structures. Universal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called the ''variety of groups''. History Before the nineteenth century, algebra meant ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Medal Of Science
The National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and physics. The twelve member presidential Committee on the National Medal of Science is responsible for selecting award recipients and is administered by the National Science Foundation (NSF). History The National Medal of Science was established on August 25, 1959, by an act of the Congress of the United States under . The medal was originally to honor scientists in the fields of the "physical, biological, mathematical, or engineering sciences". The Committee on the National Medal of Science was established on August 23, 1961, by executive order 10961 of President John F. Kennedy. On January 7, 1979, the American Association for the Advancement of Science (AAAS) passed a resolution propo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cole Prize
The Frank Nelson Cole Prize, or Cole Prize for short, is one of twenty-two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to number theory.. The prize is named after Frank Nelson Cole, who served the Society for 25 years. The Cole Prize in algebra was funded by Cole himself, from funds given to him as a retirement gift; the prize fund was later augmented by his son, leading to the double award.. To be eligible for the Cole prize, the author must be a member of the American Mathematical Society or the paper should appear in a recognized North American journal. The first award for algebra was made in 1928 to L. E. Dickson Leonard Eugene Dickson (January 22, 1874 – January 17, 1954) was an American mathematician. He was one of the first American researchers in abstract algebra, in particular the theory of finite fields and classical groups, and is also reme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brauer's Theorem On Induced Characters
Brauer's theorem on induced characters, often known as Brauer's induction theorem, and named after Richard Brauer, is a basic result in the branch of mathematics known as character theory, within representation theory of a finite group. Background A precursor to Brauer's induction theorem was Artin's induction theorem, which states that , ''G'', times the trivial character of ''G'' is an integer combination of characters which are each induced from trivial characters of cyclic subgroups of ''G.'' Brauer's theorem removes the factor , ''G'', , but at the expense of expanding the collection of subgroups used. Some years after the proof of Brauer's theorem appeared, J.A. Green showed (in 1955) that no such induction theorem (with integer combinations of characters induced from linear characters) could be proved with a collection of subgroups smaller than the Brauer elementary subgroups. Another result between Artin's induction theorem and Brauer's induction theorem, also due to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert Steinberg
Robert Steinberg (May 25, 1922, Soroca, Bessarabia, Romania (present-day Moldova) – May 25, 2014) was a mathematician at the University of California, Los Angeles. He introduced the Steinberg representation, the Lang–Steinberg theorem, the Steinberg group in algebraic K-theory, Steinberg's formula in representation theory, and the Steinberg groups in Lie theory that yield finite simple groups over finite fields. Biography Born in Soroca (then in the Kingdom of Romania, today in Moldova), Steinberg's parents settled in Canada very soon after his birth. Steinberg studied under Richard Brauer and he received his Ph.D. in mathematics from the University of Toronto in 1948. Steinberg joined the Mathematics Department at UCLA the same year. He retired from UCLA in 1992. Awards Steinberg was an invited speaker at the International Congress of Mathematicians in 1966, won the Steele Prize in 1985, was elected to the United States National Academy of Sciences in 1985, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ralph Gordon Stanton
Ralph Gordon Stanton (21 October 1923 – 21 April 2010) was a Canadian mathematician, teacher, scholar, and pioneer in mathematics and computing education. As a researcher, he made important contributions in the area of discrete mathematics; and as an educator and administrator, was also instrumental in founding the Faculty of Mathematics at the University of Waterloo, and for establishing its unofficial mascot of the pink tie. Life and education Stanton was born in Lambeth, Ontario, Canada on 21 October 1923. He was the eldest of four children. Stanton received his BA in Mathematics and Physics in 1944 from the University of Western Ontario. He went on to receive his MA in 1945 and PhD in 1948, both from the University of Toronto. His PhD dissertation was on the topic "On The Mathiew Group M(Sub 24)", under advisor Richard Dagobert Brauer. He received honorary Doctor of Science degrees from the University of Queensland in 1989, and from the University of Natal in 1997. He al ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Louis Solomon , names sometimes translated to English as "Louis"
{{disambiguation ...
Louis may refer to: * Louis (coin) * Louis (given name), origin and several individuals with this name * Louis (surname) * Louis (singer), Serbian singer * HMS ''Louis'', two ships of the Royal Navy See also Derived or associated terms * Lewis (other) * Louie (other) * Luis (other) * Louise (other) * Louisville (other) * Louis Cruise Lines * Louis dressing, for salad * Louis Quinze, design style Associated names * * Chlodwig, the origin of the name Ludwig, which is translated to English as "Louis" * Ladislav and László - names sometimes erroneously associated with "Louis" * Ludovic, Ludwig, Ludwick, Ludwik Ludwik () is a Polish given name. Notable people with the name include: * Ludwik Czyżewski, Polish WWII general * Ludwik Fleck (1896–1961), Polish medical doctor and biologist * Ludwik Gintel (1899–1973), Polish-Israeli Olympic soccer player ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
