  The two isomorphic Borel subalgebras of gl(n), realized on upper and lower
triangular matrices, allow us to consider the gl(n) \opus t_n algebra as a
self-dual Drinfeld double. Compatibility conditions impose the choice of an
orthonormal basis in the Cartan subalgebra and fix the basis of gl(n). A
natural Lie bialgebra structure on gl(n) is obtained, that offers a new
perspective for its standard quantum deformation.
