Invariants
Weight: | $1$ |
Degree: | $2$ |
$\mathbb{R}$-dimension: | $1$ |
Components: | $2$ |
Contained in: | $\mathrm{USp}(2)$ |
Rational: | $\mathrm{True}$ |
Identity Component
Name: | $\mathrm{U}(1)$ |
Index: | $2$ |
$\mathbb{R}$-dimension: | $1$ |
Description: | $\left\{\begin{bmatrix}\alpha&0\\0&\bar\alpha\end{bmatrix}:\alpha\bar\alpha = 1,\ \alpha\in\mathbb{C}\right\}$ |
Component Group
Name: | $C_2$ |
Order: | $2$ |
Abelian: | $\mathrm{True}$ |
Generators: | $\begin{bmatrix}0&1\\1&0\end{bmatrix}$ |
Subgroups and Supergroups
Maximal Subgroups: | $\mathrm{U}(1)$ |
Minimal Supergroups: |
Moment Statistics
$x$ | $\mathrm{E}[x^{0}]$ | $\mathrm{E}[x^{1}]$ | $\mathrm{E}[x^{2}]$ | $\mathrm{E}[x^{3}]$ | $\mathrm{E}[x^{4}]$ | $\mathrm{E}[x^{5}]$ | $\mathrm{E}[x^{6}]$ | $\mathrm{E}[x^{7}]$ | $\mathrm{E}[x^{8}]$ | $\mathrm{E}[x^{9}]$ | $\mathrm{E}[x^{10}]$ | $\mathrm{E}[x^{11}]$ | $\mathrm{E}[x^{12}]$ |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
$a_1$ | $1$ | $0$ | $1$ | $0$ | $3$ | $0$ | $10$ | $0$ | $35$ | $0$ | $126$ | $0$ | $462$ |
Event Probabilities
$\mathrm{P}[a_1=0]=\frac{1}{2}$ |