Let $J$ be an unital Jordan algebra (over $\mathbb{R}$) - recall that this means that $J$ is an unital $\mathbb{R}$-algebra (whose product we denote by $\bullet$) satisfying $x\bullet y=y\bullet x$ and $(x^{\bullet 2}\bullet y)\bullet x=x^{\bullet 2}\bullet(y\bullet x)$ (where $x^{\bullet 2}=x\bu...
Indecomposable symmetric cones fall into five classes. The automorphism group of any symmetric cone $C$ is a real Lie group $Aut(C)$. What is the associated class of Lie groups $Aut(C)$ for each of the five classes of indecomposable symmetric cones?
At math.SE there also is a jordan algebras tag with 8 questions and empty tag-info. So if somebody confirms the the tag-info suggested here looks good, it could probably be copied to the other side, too.
Let $\Omega$ be a bounded domain in $\mathbb{R}^3$ and $f_1,f_2 \in C^2(\bar{\Omega})$. Suppose
$\int_{\Omega}(f_2-f_1)\varphi \, dx=0$ and $\int_{\Omega}(f_2 \Delta^{-1} f_2- f_1 \Delta^{-1} f_1)\varphi \, dx =0$
for all harmonic functions $\varphi$, where $\Delta^{-1}f=\int_{\Omega}f(y)\Phi(...
Let $\Omega$ be a bounded domain in $\mathbb{R}^3$ and $f_1,f_2 \in C^2(\bar{\Omega})$. Suppose
$\int_{\Omega}(f_2-f_1)\varphi \, dx=0$ and $\int_{\Omega}(f_2 \Delta^{-1} f_2- f_1 \Delta^{-1} f_1)\varphi \, dx =0$
for all harmonic functions $\varphi$, where $\Delta^{-1}f=\int_{\Omega}f(y)\Phi(...
