Invariants
| Weight: | $1$ |
| Degree: | $4$ |
| $\mathbb{R}$-dimension: | $4$ |
| Components: | $1$ |
| Contained in: | $\mathrm{USp}(4)$ |
| Rational: | $\mathrm{True}$ |
Identity Component
| Name: | $\mathrm{U}(1)\times\mathrm{SU}(2)$ |
| Index: | $1$ |
| $\mathbb{R}$-dimension: | $4$ |
| Description: | $\left\{\begin{bmatrix}A&0\\0&B\end{bmatrix}: A\in \mathrm{U}(1),\ B\in\mathrm{SU}(2)\right\}$ |
Subgroups and Supergroups
| Maximal Subgroups: | |
| Minimal Supergroups: | $N(G_{1,3})$ |
Moment Statistics
| $x$ | $\mathrm{E}[x^{0}]$ | $\mathrm{E}[x^{1}]$ | $\mathrm{E}[x^{2}]$ | $\mathrm{E}[x^{3}]$ | $\mathrm{E}[x^{4}]$ | $\mathrm{E}[x^{5}]$ | $\mathrm{E}[x^{6}]$ | $\mathrm{E}[x^{7}]$ | $\mathrm{E}[x^{8}]$ | $\mathrm{E}[x^{9}]$ | $\mathrm{E}[x^{10}]$ | $\mathrm{E}[x^{11}]$ | $\mathrm{E}[x^{12}]$ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| $a_1$ | $1$ | $0$ | $3$ | $0$ | $20$ | $0$ | $175$ | $0$ | $1764$ | $0$ | $19404$ | $0$ | $226512$ |
| $a_2$ | $1$ | $2$ | $6$ | $20$ | $76$ | $312$ | $1364$ | $6232$ | $29460$ | $142952$ | $708328$ | $3570096$ | $18251248$ |