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Using the language of h-Hopf algebroids which was introduced by Etingof andVarchenko, we construct a dynamical quantum group, F_ell(GL(n)), from theelliptic solution of the quantum dynamical Yang-Baxter equation with spectralparameter associated to the Lie algebra sl_n. We apply the generalized FRSTconstruction and obtain an h-bialgebroid F_ell(M(n)). Natural analogs of theexterior algebra and their matrix elements, elliptic minors, are defined andstudied. We show how to use the cobraiding to prove that the ellipticdeterminant is central. Localizing at this determinant and constructing anantipode we obtain the h-Hopf algebroid F_ell(GL(n)).

The elliptic GL(n) dynamical quantum group as an h-Hopf algebroid