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Topic: Weyl


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In the News (Wed 30 Dec 09)

  
  Hermann Weyl - Wikipedia, the free encyclopedia
Hermann Weyl was born in Elmshorn, a town near Hamburg in Germany.
Weyl's gauge theory was an unsuccessful attempt to model electromagnetic field and the gravitational field as geometrical properties of spacetime.
Weyl also showed how to use exponential sums in diophantine approximation, with his criterion for uniform distribution mode 1, which was fundamental step in analytic number theory.
en.wikipedia.org /wiki/Hermann_Weyl   (1561 words)

  
 Pierce Galleries - Max Weyl
Max Weyl was born in Washington, D.C. on December 1, 1837 and he died on July 6, 1914 in Wurtemberg, Germany.
Weyl was a member of the Society of Washington Artists and won two prizes with that association in 1901 and 1904, but he remained a recluse most of his artistic life and did not like to exhibit or enter painting contests.
Weyl was close friends with Maine marine painter William S. Barrett and New York marine painter Paul Dougherty.
www.piercegalleries.com /artists/iart_weyl.html   (206 words)

  
 Rutgers University Libraries: Libraries: Special Collections and University Archives: Manuscripts: Weyl, Walter E. ...
His father, Nathan Weyl, an emigrant from the German Palatinate, died when the boy was seven, and Walter was raised with his five brothers and sisters in the household of his maternal grandmother, the widow of Philadelphia merchant Julius Stern.
A precocious student, Weyl entered Philadelphia Central High School at the age of thirteen and four years later was awarded a scholarship to the Wharton School of the University of Pennsylvania, which he entered as a junior and from which he was graduated with distinction at the age of nineteen.
Weyl used his diaries to record both intellectual and personal material: they include comments on diet and exercise, ideas for short stories, notes on dramaturgy and literary style and analyses of the author's financial investments.
www.libraries.rutgers.edu /rul/libs/scua/weyl/weyl.shtml   (1973 words)

  
 Weyl (print-only)
Weyl himself produced two later editions, the third (and final) of these editions appearing in 1955 covering the same topics as the original text but with a more modern treatment.
Here Weyl found a very congenial working environment where he was able to guide and influence the younger generation of mathematicians, a task for which he was admirably suited.
Weyl certainly undertook work of major importance at Princeton, but his most productive period was without doubt the years he spent at Zürich.
www-groups.dcs.st-and.ac.uk /~history/Printonly/Weyl.html   (2255 words)

  
 Walter Weyl
In fact, Weyl used statistical evidence to show that the real standard of living of working people in Europe and the USA had risen considerably in the latter half of the 19th century.
Weyl dismissed claims by socialists that it would be the working-class that would bring about the reform of capitalism.
Weyl was also shocked by the way the trade union movement was attacked after the First World War.
www.spartacus.schoolnet.co.uk /USAweyl.htm   (638 words)

  
 weylmann.com - Hermann Weyl
Weyl's 1918 theory of the unified electrodynamic/gravitational field was one of the topics in that chapter.
Weyl's persistence, which was based on a firm conviction that what he had proposed was based in absolute truth and beauty, paid off when he applied his theory to the then-emerging field of quantum mechanics.
Weyl denounced Hitler, but had to flee his beloved Germany in 1933 because neither he nor all his brilliant contempories could stem the tide of nationalistic insanity that was sweeping the country.
www.weylmann.com   (19007 words)

  
 Biography: Nathaniel Weyl
As a student at Columbia, Weyl became one of the youth leaders of the Socialist Party.
Weyl received his Bachelor of Science Degree from Columbia College in 1931 and did postgraduate work at the London School of Economics.
Weyl later recalled that he was "sucked into a so-called nuclear cell of government officials supposedly destined to rise rapidly, I found secret membership in this cell while a US official duplicitous, and resolved my personal problem by resigning from government." Weyl was later to claim that this cell included Alger Hiss.
www.spartacus.schoolnet.co.uk /JFKweyl.htm   (3906 words)

  
 HERMANN WEYL
Hermann Weyl was one of the leading mathematicians of the twentieth century.
Weyl's Ph.D. dissertation was written under David Hilbert at the University of Göttingen.
Weyl was not only a mathematician and an admirer of Noether, but also an accomplished writer.
faculty.evansville.edu /ck6/bstud/weyl.html   (830 words)

  
 Amazon.com: Space, Time, Matter: Books: Hermann Weyl   (Site not responding. Last check: 2007-11-01)
Weyl was first and foremost a mathematician, but he also proved to be a visionary theoretical physicist who was greatly admired by the likes of Einstein, Pauli, Dirac and Heisenberg.
Weyl's book is most famous for introducing gauge theory, which was later reborn in the form of phase transformations in quantum theory.
Weyl's introduction of the "affine connection" after criticism of Levi-Civita's notion of parallelism led the way to further notions of connections and generalization of the notion of connection as such by Elie Cartan and others.
www.amazon.com /exec/obidos/tg/detail/-/0486602672?v=glance   (1912 words)

  
 weylmann.com - Who Was Hermann Weyl?
Hermann Weyl was born in the little town of Elmshorn (near Hamburg), Germany on November 9, 1885.
The son of Ludwig and Anna Weyl, he showed an unusual aptitude for math and science as a youth.
Just 27 years old, Weyl was now a senior colleague of Einstein who, already a professor of physics at the school, was working feverishly on his greatest achievement – the General Theory of Relativity.
www.weylmann.com /weyl.shtml   (694 words)

  
 Weyl Groups
The Correlated MacroSpace is to MacroSpace as the space of Lie Sphere Correlations is to SpaceTime, and as Correlation Structure is to Nearest Neighbor Structure.
Consider the N axes of the Weyl Goup Reflection Space, and take the positive and negative direction basis vector of each axis to be independent, thus getting 2N independent basis vectors to form the 2N-dimenisonal vector space of Cl(2N).
The Weyl group of DN has dimensionality equal to the number of permutations of a set of N elements, times the number of subsets of (N-1) elements.
www.valdostamuseum.org /hamsmith/Weyl.html   (5287 words)

  
 WEYL, MAX
A favorite Washington, D.C. artist of the late 19th century, Max Weyl was born of Jewish parents, December 1, 1837, in Muhlen-am-Neckar, Germany.
Deciding to become a full-time landscape artist in 1878, Weyl undertook a year of study abroad, visiting studios and galleries in Munich, Paris, Vienna and Venice.
On Weyl's 70th birthday in 1907, the Corcoran Gallery held a retrospective exhibit of his work.
www.fineartstrader.com /weyl.htm   (256 words)

  
 Amazon.ca: Algebraic Theory of Numbers. (Am-1): Books: Hermann Weyl   (Site not responding. Last check: 2007-11-01)
There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields.
Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition.
Eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic.
www.amazon.ca /Algebraic-Theory-Numbers-Hermann-Weyl/dp/0691059179   (312 words)

  
 Weyl Groups
Since 3 is the dimension of the imaginary quaternions, Spin(0,3) has quaternionic structure and in fact generates the Lie group S3 of imaginary quaternions, and corresponds to the Associative Triangle of Imaginary Quaternions.
(0,-1) Here WEYL is the root vector space of Spin(0,4) in which reflections through the origin (0,0) act on the first axis to interchange (-1,0) and (+1,0) and on the second axis to interchange (0,-1) and (0,+1).
This type of construction can be continued to form the Weyl groups of all the B and D Lie algebras, and similar constructions can be used for the A, C, and Exceptional Lie algebras.
www.valdostamuseum.org /hamsmith/WeyLie.html   (3488 words)

  
 Hermann Weyl, mathematician and mathematical physicist   (Site not responding. Last check: 2007-11-01)
Weyl was one of the greats among twentieth century mathematicians.
Since at that time there were no such particles, but the proton existed and lacked its own theory, Weyl tried out the idea that the proton was the predicted positively charged particle; its mass was conjectured by Weyl to have been altered from that of the electron by gravitational interactions.
Weyl had discovered a theory of two-component neutrinos in about 1931, and this was refuted by Pauli, since it violated parity conservation.
www.mth.kcl.ac.uk /~streater/Weyl.html   (350 words)

  
 Amazon.com: Weyl Transforms (Universitext): Books: M.W. Wong   (Site not responding. Last check: 2007-11-01)
The functional analytic properties of Weyl transforms as bounded linear operators on $ L^ä2ü(äBbb Rü^änü) $ are studied in terms of the symbols of the transforms.
The roles of the Heisenberg group and the symplectic group in the study of the structure of the Weyl transform are explicated, and the connections of the Weyl transform with quantization are highlighted throughout the book.
Localization operators, first studied as filters in signal analysis, are shown to be Weyl transforms with symbols expressed in terms of the admissible wavelets of the localization operators.
www.amazon.com /Weyl-Transforms-Universitext-M-W-Wong/dp/0387984143   (699 words)

  
 The Weyl Family of AxiSymmetric Static Vacuums: Illustrations   (Site not responding. Last check: 2007-11-01)
Here, m is the first Weyl moment (this is just the Newtonian mass) and n is the second Weyl moment (this is related to the Newtonian quadrupole moment and the mass by n = Q - m^3/3).
The corresponding Weyl vacuum solutions to the Einstein field equation are asymptotically flat, and it turns out that the first Weyl moment a_0 corresponds to the mass, while the second moment a_1 is related to the mass M and quadrupole moment Q by a_1 = -Q - M^3/3.
In the corresponding Weyl vacuum solution, the field appears static in the Weyl canonical chart because the observers are firing their rocket engines so as to accelerate at exactly the same rate as the dipole, thus maintaining their position relative to the dipole.
math.ucr.edu /home/baez/RelWWW/weylvac.html   (1590 words)

  
 Weyl Financial LLC
Weyl Financial LLC Forex Hedge Funds are offered to investors with risk capital who choose to have a professional forex trader trade on their behalf.
Weyl Financial LLC and it's traders have established a client base which has spread worldwide.
Institutional and Private investors who place risk capital with Weyl Financial LLC are commonly personal associates of the company's principals, traders and employees, or referrences from existing clients.
www.total-coach.com   (250 words)

  
 Hermann Weyl - Mathematics and the Liberal Arts   (Site not responding. Last check: 2007-11-01)
Kilmister, C. Zeno, Aristotle, Weyl and Shuard: two-and-a-half millenia of worries over number.
Weyl advised caution in dealing with impredicative definitions, which he believed could lead to a vicious circle.
As the author notes, "On 9 February 1918, Polya and Weyl made a bet in Zürich, with twelve witnesses (all mathematicians).
mtcs.truman.edu /~thammond/history/HermannWeyl.html   (267 words)

  
 Weyl/Nuprl
For instance, using Weyl's ability to represent and perform arithmetic with functions (including those specified via their values at points), we were able to synthesize high dimensional dynamical systems from the Navier-Stokes equations using the Galerkin projection using only a page of code (compared to over fifty pages required using other techniques).
Weyl's framework is general enough to support objects like simplices, simplicial complexes and other objects from geometry and topology as ``first class'' objects.
Determining which of several polynomial greatest common divisor routines should be used depends on properties of the coefficient domain of the polynomial (e.g., coefficient growth, characteristic, presence of zero divisors, etc.).
www.cs.cornell.edu /Info/Projects/NuPrl/documents/colmath/node7.html   (503 words)

  
 GAP Manual: 63. Weyl Groups and Hecke Algebras
In this chapter we describe functions for dealing with finite Weyl groups, associated Hecke algebras over a ring of Laurent polynomials, and their representations.
Each Weyl group is a direct product of indecomposable Weyl groups which are in turn classified by means of the well--known Dynkin diagrams.
This Cartan matrix conversely determines the root system and hence also the corresponding Weyl group W, i.e., the finite subgroup of the full orthogonal group of V generated by the reflections along the vectors in R.
www.math.uiuc.edu /Software/GAP-Manual/Weyl_Groups_and_Hecke_Algebras.html   (1544 words)

  
 Ruth Weyl: ZoomInfo Business People Information
Ruth Weyl's summary was automatically generated using 4 references found on the Internet.
Mrs Ruth Weyl was elected as the Association's Secretary.
A general discussion followed, opened by Ruth Weyl, Consultant to the International Council of Christians and Jews, who underlined what had been achieved in different European countries.
www.zoominfo.com /people/weyl_ruth_39139793.aspx   (140 words)

  
 Weyl summary
Preface to H Weyl's Theory of groups and quantum mechanics - First Edition
Preface to H Weyl's Theory of groups and quantum mechanics - Second Edition
Introduction to H Weyl's theory of groups and quantum mechanics
www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Weyl.html   (71 words)

  
 GAP Manual: 56.18. Weyl Package   (Site not responding. Last check: 2007-11-01)
There is a collection of programs for dealing with finite Weyl groups, associated (Iwahori-) Hecke algebras, and their representations.
Also, computations inside H are possible, such as multiplying two arbitrary elements of H and expressing the result as a linear combination in the basis elements T_w, w inW.
The following section describes the installation of the Weyl package, a description of the functions available in the Weyl package is given in chapter Weyl Groups and Hecke Algebras.
www.math.uiuc.edu /Software/GAP-Manual/Weyl_Package.html   (237 words)

  
 Carl Jules Weyl   (Site not responding. Last check: 2007-11-01)
C.J. Weyl / Carl J. Weyl / Carl Julius Weyl / Carl Weyl
I Married a Doctor (1936) (as Carl Weyl)
The Case of the Curious Bride (1935) (as Carl J. Weyl)
www.imdb.com /name/nm0923380   (136 words)

  
 Help Texts for coxeter and weyl, v2.4
For a detailed introduction to the packages, consult the TeX document "A Maple Package for Root Systems and Finite Coxeter Groups." After loading the vanilla editions of coxeter and weyl, each package function may be accessed using the calling sequences coxeter[functionname](arguments) or weyl[functionname](arguments).
In addition, the names M and X are special global variables used by the weyl package.
If f is any polynomial expression in the Weyl characters X[..] and orbit sums M[..], the function toX(f,R) converts f into a linear combination of Weyl characters X[..].
www.math.lsa.umich.edu /~jrs/software/coxeterhelp.html   (8531 words)

  
 Shine On, Hermann Weyl
Description of the book Symmetry by Weyl, H., published by Princeton University Press.
Mathematics lies at its root, and it would be hard to find a better one on which to demonstrate the working of the mathematical intellect."
In honor of Princeton University, of Sylvia Nasar (see entries of Nov, 6), of the Presbyterian Church (see entry of Nov. 8), and of Professor Weyl (whose work partly inspired the website Diamond Theory), this site's background music is now Pink Floyd's
www.log24.com /log/2002-1109-weylx5.html   (930 words)

  
 Coxeter/Weyl Tutorial
The latest versions of these packages, along with documentation and answers to FAQs, can be downloaded from their official home page.
The weight spaces are indexed by weight vectors, and the dimensions of the weight spaces (i.e., weight multiplicities) are invariant under the action of the Weyl group
W(R) Thus the weight multiplicities of a given representation can be inferred from the multiplicities of the dominant weights.
www.math.lsa.umich.edu /~jrs/coxtut.html   (2992 words)

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