mjo-eja.tex

   1 %
   2 % Euclidean Jordan algebras.
   3 %
   4
   5 % The jordan product of its two arguments.
   6 %
   7 % The choice of \circ here (as opposed to, say, \bullet) was a tough
   8 % one. On the one hand, the \circ operator already means function
   9 % composition, and function composition does appear in the context of
  10 % (Euclidean) Jordan algebras. On the other hand, the meaning would
  11 % be unambiguous to a mathematician. Perhaps more importantly -- the
  12 % \circ is much easier to write on the board if one intends to teach
  13 % this material. Finally, the \circ is used by Koecher, Alizadeh,
  14 % Baes, Gowda, et cetera and seems to be more popular. Full
  15 % disclosure: the \bullet is used by McCrimmon.
  16 %
  17 % It is for this reason that we have segregated the Jordan product
  18 % into its own LaTeX file; we probably wouldn't want to use \circ as
  19 % a (bilinear) algebra multiplication in any other context.
  20 \newcommand*{\jp}[2]{{#1} \circ {#2}}