mjo-eja.tex: add \quadrepr and \leftmult.

[mjotex.git] / mjo-eja.tex

diff --git a/mjo-eja.tex b/mjo-eja.tex
index 8b4efbfee69670c4a849d808428e4a318c669020..efa68dee0db8540a31b613646d1d5c54c514d479 100644 (file)
--- a/mjo-eja.tex
+++ b/mjo-eja.tex
@@ -22,6 +22,15 @@
 % a (bilinear) algebra multiplication in any other context.
 \newcommand*{\jp}[2]{{#1} \circ {#2}}
 
+% The "quadratic representation" of the ambient space applied to its
+% argument. We have standardized on the "P" used by Faraut and Korányi
+% rather than the "U" made popular by Jacobson.
+\newcommand*{\quadrepr}[1]{P_{#1}}
+
+% The "left multiplication by" operator. Takes one argument, the thing
+% to multiply on the left by. This has meaning more generally than in
+% an EJA, but an EJA is where I use it.
+\newcommand*{\leftmult}[1]{L_{#1}}
 
 % The ``Jordan automorphism group of'' operator. Using
 % \Aut{} is too ambiguous sometimes.