论文标题
在表示$ \ operatorname {ad}^{\ otimes 2} $ lie代数$ so（n）$和$ sp（2r）$和vogel参数化的代表子空间的投影仪
Projectors on invariant subspaces of representations $\operatorname{ad}^{\otimes 2}$ of Lie algebras $so(N)$ and $sp(2r)$ and Vogel parametrization
论文作者
论文摘要
投影仪在$ \ operatotorname {ad}^{\ otimes 2} $表示lie代数$ so（n）$和$ sp（2r）$的$ \ operatorname {ad}^{\ otimes 2} $中的明确公式。从通用复杂的简单谎言代数描述的角度，也考虑了这些投影仪，使用Vogel参数化。
Explicit formulae for the projectors onto invariant subspaces of the $\operatorname{ad}^{\otimes 2}$ representation of the Lie algebras $so(N)$ and $sp(2r)$ have been found by means of the split Casimir operator. These projectors have also been considered from the viewpoint of the universal complex simple Lie algebra description by using the Vogel parametrisation.
