X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=examples.tex;h=d8e2c3243f85d436f2600267c21475556a75b99f;hb=c8cd642ae6f1dd3455d2ddc0f535508aedc07aaf;hp=d59975eb872bd2f635f9635756518df236e64f74;hpb=906dd6be4d6f832228c3d97c9c755fa4fc8d43bf;p=mjotex.git diff --git a/examples.tex b/examples.tex index d59975e..d8e2c32 100644 --- a/examples.tex +++ b/examples.tex @@ -39,7 +39,8 @@ If $R$ has a multiplicative identity (that is, a unit) element, then that element is denoted by $\unit{R}$. Its additive identity - element is $\zero{R}$. + element is $\zero{R}$. The stabilizer (or isotropy) + subgroup of $G$ that fixes $x$ is $\Stab{G}{x}$. \end{section} \begin{section}{Algorithm} @@ -161,8 +162,12 @@ \end{section} \begin{section}{Euclidean Jordan algebras} - The Jordan product of $x$ and $y$ in some Euclidean Jordan algebra $V$ - is $\jp{x}{y}$. The Jordan-automorphism group of $V$ is $\JAut{V}$. + The Jordan product of $x$ and $y$ in some Euclidean Jordan algebra + $V$ is $\jp{x}{y}$. The Jordan-automorphism group of $V$ is + $\JAut{V}$. Two popular operators in an EJA are its quadratic + representation and ``left multiplication by'' operator. For a + given $x$, they are, respectively, $\quadrepr{x}$ and + $\leftmult{x}$. \end{section} \begin{section}{Font}