Canonical Gelfand-Zeitlin modules over orthogonal Gelfand-Zeitlin algebras

Nick Early, Volodymyr Mazorchuk, Elizaveta Vishnyakova

We prove that every orthogonal Gelfand-Zeitlin algebra $U$ acts on its Gelfand-Zeitlin subalgebra $\Gamma$. Considering the dual module, we show that every Gelfand-Zeitlin character of…