Weight decomposition of ${\mathfrak{sl}}_d(\mathbb{R})$ with respect to the adjoint representation of $\mathfrak{so}(p,q)$

Jiyoung Han

In this concise article, we compute the weight decomposition of ${\mathfrak{sl}}_d(\mathbb{R})$ with respect to the adjoint representation of $\mathfrak{so}(p,q)$, where $d=p+q$ and d…