Let $W$ be the Weyl group corresponding to the maximal torus $diag(t_1, . . . , t_{n}, t^{−1}_n, . . . , t^{−1}_1)$ in a Borel group of $\operatorname{SO}_{2n}(\mathbb C)$.
What are the matrices corresponding to simple reflections of $W$?
The simple reflections of the Weyl group in $\operatorname{SO}_{2n}(\mathbb C)$
Ami
- 332
- 1
- 8