Invariants
| Weight: | $1$ |
| Degree: | $4$ |
| $\mathbb{R}$-dimension: | $3$ |
| Components: | $1$ |
| Contained in: | $\mathrm{USp}(4)$ |
| Rational: | $\mathrm{True}$ |
Identity Component
| Name: | $\mathrm{SU}(2)_2$ |
| Index: | $1$ |
| $\mathbb{R}$-dimension: | $3$ |
| Description: | $\left\{\begin{bmatrix}A&0\\0&\bar{A}\end{bmatrix}: A\in \mathrm{SU}(2)\right\}$ |
Subgroups and Supergroups
| Maximal Subgroups: | |
| Minimal Supergroups: | $E_2$, $J(E_1)$, $E_3$ |
Moment Statistics
| $x$ | $\mathrm{E}[x^{0}]$ | $\mathrm{E}[x^{1}]$ | $\mathrm{E}[x^{2}]$ | $\mathrm{E}[x^{3}]$ | $\mathrm{E}[x^{4}]$ | $\mathrm{E}[x^{5}]$ | $\mathrm{E}[x^{6}]$ | $\mathrm{E}[x^{7}]$ | $\mathrm{E}[x^{8}]$ | $\mathrm{E}[x^{9}]$ | $\mathrm{E}[x^{10}]$ | $\mathrm{E}[x^{11}]$ | $\mathrm{E}[x^{12}]$ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| $a_1$ | $1$ | $0$ | $4$ | $0$ | $32$ | $0$ | $320$ | $0$ | $3584$ | $0$ | $43008$ | $0$ | $540672$ |
| $a_2$ | $1$ | $3$ | $10$ | $37$ | $150$ | $654$ | $3012$ | $14445$ | $71398$ | $361114$ | $1859628$ | $9716194$ | $51373180$ |