特殊酉群的Hadwiger型定理
A Hadwiger-type theorem for the special unitary group
摘要：
计算了SU（n）空间的维数和$\mathbb{C}^n, n \geq 2$上平移不变连续赋值.对于偶数$n$，该维度等于$(n^2+3n+10)/2$ ;对于奇数$n$，该维度等于$(n^2+3n+6)/2$。构造了该空间的一个显式几何基。作为推论，得到了SU（n）的运动学公式.
英文摘要：
The dimension of the space of SU(n) and translation invariant continuous valuations on $\mathbb{C}^n, n \geq 2$ is computed. For even $n$, this dimension equals $(n^2+3n+10)/2$; for odd $n$ it equals $(n^2+3n+6)/2$. An explicit geometric basis of this space is constructed. The kinematic formulas for SU(n) are obtained as corollaries.
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