An Unexpected Cyclic Symmetry of Iu_n

We find and discuss an unexpected (to us) order n cyclic group of automorphisms of the Lie algebra Iu_n := u_n \ltimes u*_n, where u_n is the Lie algebra of upper triangular n by n matrices. Our results also extend to gl_{n+}^\eps, a "solvable approximation of gl_n", as defined within.