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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
1
vote
Accepted
Archive of the Work of J Sutherland Frame
The short answer is "no". Frame did interesting work, though usually
outside the conceptual mainstream of representation theory. Some of his
calculations of character tables (such as that of the …
11
votes
Is there an index for solutions to American Mathematical Monthly problems?
The American Mathematical Monthly goes back a long way, to a radically different era in mathematical life, and has never quite caught up with the present in terms of making information readily availab …
18
votes
When and why did the postdoctoral position originate?
This is really a blog question, with no single answer. There are 150+
Ph.D. programs in mathematics in the U.S., plus various institutes. As
noted already, there is no central planner. Before the …
6
votes
What to do with antique math books?
Though I haven't dealt directly with them, I'm aware of another established company (in Ohio) which buys and sells advanced or rare books in mathematics: http://www.zubalbooks.com/in …
22
votes
4
answers
4k
views
How did "Ore's Conjecture" become a conjecture?
The narrow question here concerns the history of one development in group theory, but the broader context involves the sometimes loose use of the term "conjecture". This goes back to older work of …
45
votes
Fields of mathematics that were dormant for a long time until someone revitalized them
The older theory of Hopf algebras, which grew out of algebraic topology as well as some purely algebraic theories, developed to the level of Sweedler's 1969 book and then became something of a backwat …
4
votes
A place to find original papers
Besides JSTOR, NUMDAM, and the like there is a German digital math archive GDZ
at gdz.sub.uni-goettingen.de/. Some sources require access through a subscribing institution, by the way. There is n …
12
votes
Accepted
Who originated the standard symbols for Lie groups GL, SL, SU, etc.?
It's hard to provide definitive confirmation of Weyl's role, but his 1939 book was highly influential in all further developments. It's important to realize that notation (and terminology) in mathe …
5
votes
Origin of the theorem on the existence of the smallest field of definition of an affine variety
As far as I can see, Weil was indeed the main source for this viewpoint on fields of definition in algebraic geometry. However, it may be hard to pin down the specific result quoted here in his 1935 …
3
votes
0
answers
172
views
Origin of the standard result on convex hull of weights of an irreducible finite dimensional...
What is the earliest published statement and proof of the well-known result: for a simple Lie algebra over $\mathbb{C}$ or other algebraically closed field of characteristic 0, the convex hull (in the …
31
votes
How might M.C. Escher have designed his patterns?
The June/July 2010 issue of the AMS Notices here has a further article by Doris Schattschneider (a graduate school classmate of mine) on Coxeter and Escher. Doris has written extensively about Esche …
6
votes
Books about history of recent mathematics
History, biography, and memoir are quite different genres for mathematics. But as long as some of the latter are being recommended, I'd have to add G.H. Hardy's short memoir A Mathematician's Apolog …
6
votes
2
answers
1k
views
Convention about "long" roots for simple Lie algebras of types ADE?
The classification of simple Lie algebras (over $\mathbb{C}$ or other sufficiently large field of characteristic 0) correlates these Lie algebras with the irreducible reduced root systems (in Bourbaki …
48
votes
Fraktur symbols for Lie algebras
Some of what's been said so far about the history makes good sense, but by no means all. Let me add my own perspective, for what it's worth. The font called Fraktur by LaTeX (also known as "gothic …
5
votes
What are examples of mathematical concepts named after the wrong people? (Stigler's law)
Many of the examples mentioned go back to earlier centuries, when insulated national traditions and slow communications promoted mistaken labelling of results and concepts. A much more recent exampl …