1 %

2 % Euclidean Jordan algebras.

3 %

4 \ifx\havemjoeja\undefined

8 % The jordan product of its two arguments.

9 %

10 % The choice of \circ here (as opposed to, say, \bullet) was a tough

11 % one. On the one hand, the \circ operator already means function

12 % composition, and function composition does appear in the context of

13 % (Euclidean) Jordan algebras. On the other hand, the meaning would

14 % be unambiguous to a mathematician. Perhaps more importantly -- the

15 % \circ is much easier to write on the board if one intends to teach

16 % this material. Finally, the \circ is used by Koecher, Alizadeh,

17 % Baes, Gowda, et cetera and seems to be more popular. Full

18 % disclosure: the \bullet is used by McCrimmon.

19 %

20 % It is for this reason that we have segregated the Jordan product

21 % into its own LaTeX file; we probably wouldn't want to use \circ as

22 % a (bilinear) algebra multiplication in any other context.

26 \fi