Invariants
| Weight: | $1$ |
| Degree: | $4$ |
| $\mathbb{R}$-dimension: | $6$ |
| Components: | $1$ |
| Contained in: | $\mathrm{USp}(4)$ |
| Rational: | $\mathrm{True}$ |
Identity Component
| Name: | $\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
| Index: | $1$ |
| $\mathbb{R}$-dimension: | $6$ |
| Description: | $\left\{\begin{bmatrix}A&0\\0&B\end{bmatrix}: A,B\in\mathrm{SU}(2)\right\}$ |
Subgroups and Supergroups
| Maximal Subgroups: | |
| Minimal Supergroups: | $N(G_{3,3})$ |
Moment Statistics
| $x$ | $\mathrm{E}[x^{0}]$ | $\mathrm{E}[x^{1}]$ | $\mathrm{E}[x^{2}]$ | $\mathrm{E}[x^{3}]$ | $\mathrm{E}[x^{4}]$ | $\mathrm{E}[x^{5}]$ | $\mathrm{E}[x^{6}]$ | $\mathrm{E}[x^{7}]$ | $\mathrm{E}[x^{8}]$ | $\mathrm{E}[x^{9}]$ | $\mathrm{E}[x^{10}]$ | $\mathrm{E}[x^{11}]$ | $\mathrm{E}[x^{12}]$ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| $a_1$ | $1$ | $0$ | $2$ | $0$ | $10$ | $0$ | $70$ | $0$ | $588$ | $0$ | $5544$ | $0$ | $56628$ |
| $a_2$ | $1$ | $2$ | $5$ | $14$ | $44$ | $152$ | $569$ | $2270$ | $9524$ | $41576$ | $187348$ | $866296$ | $4092400$ |