论文标题
Rarita-Schwinger操作员在某些对称空间上的光谱
Spectra of the Rarita-Schwinger operator on some symmetric spaces
论文作者
论文摘要
我们提供了一种在紧凑的对称空间上计算Rarita-Schwinger操作员平方的方法。根据Weitzenböck公式的说法，操作员可以由Laplace操作员编写，即紧凑型对称空间的Casimir操作员。然后，我们可以使用Freudenthal的公式和分支规则来获得光谱。作为示例，我们计算了球体上的光谱，复杂的投影空间和Quaternionic投射空间。
We give a method to calculate spectra of the square of the Rarita-Schwinger operator on compact symmetric spaces. According to Weitzenböck formulas, the operator can be written by the Laplace operator, which is the Casimir operator on compact symmetric spaces. Then we can obtain the spectra by using the Freudenthal's formula and branching rules. As examples, we calculate the spectra on the sphere, the complex projective space, and the quaternionic projective space.
