Properties

 Label 69.2.3.c1 Name $$\mathrm{SU}(2)$$ Weight 69 Degree 2 Real dimension 3 Components 1 Contained in $$\mathrm{U}(2)$$ Identity Component $$\mathrm{SU}(2)$$ Component group $$C_{1}$$

Invariants

 Weight: $69$ Degree: $2$ $\mathbb{R}$-dimension: $3$ Components: $1$ Contained in: $\mathrm{U}(2)$ Rational: $\mathrm{True}$

Identity Component

 Name: $\mathrm{SU}(2)$ Index: $1$ $\mathbb{R}$-dimension: $3$ Description: $\left\{\begin{bmatrix}\alpha&\beta\\-\bar\beta&\bar\alpha\end{bmatrix}:\alpha\bar\alpha+\beta\bar\beta = 1,\ \alpha,\beta\in\mathbb{C}\right\}$

Moment Statistics

$x$ $\mathrm{E}[x^{0}]$ $\mathrm{E}[x^{1}]$ $\mathrm{E}[x^{2}]$ $\mathrm{E}[x^{3}]$ $\mathrm{E}[x^{4}]$ $\mathrm{E}[x^{5}]$ $\mathrm{E}[x^{6}]$ $\mathrm{E}[x^{7}]$ $\mathrm{E}[x^{8}]$ $\mathrm{E}[x^{9}]$ $\mathrm{E}[x^{10}]$ $\mathrm{E}[x^{11}]$ $\mathrm{E}[x^{12}]$
$a_1$ $1$ $0$ $1$ $0$ $2$ $0$ $5$ $0$ $14$ $0$ $42$ $0$ $132$