An extension of $U({\mathfrak{gl}}_n)$ related to the alternating group and Galois orders

Erich C. Jauch

In 2010, V. Futorny and S. Ovsienko gave a realization of $U({\mathfrak{gl}}_n)$ as a subalgebra of the ring of invariants of a certain noncommutative ring with respect to the action…