  We consider the well-known Rosenbloom-Tsfasman function field lattices in the
special case of Hermitian function fields. We show that in this case the
resulting lattices are generated by their minimal vectors, provide an estimate
on the total number of minimal vectors, and derive properties of the
automorphism groups of these lattices. Our study continues previous
investigations of lattices coming from elliptic curves and finite Abelian
groups. The lattices we are faced with here are more subtle than those
considered previously, and the proofs of the main results require the
replacement of the existing linear algebra approaches by deep results of
Gerhard Hiss on the factorization of functions with particular divisor support
into lines and their inverses.
