We give the renormalization of the standard model of electroweak inter
actions to all orders of perturbation theory by using the method of al
gebraic renormalization, which is based on general properties of renor
malized perturbation theory and not on a specific regularization schem
e. The Green functions of the standard model are uniquely constructed
to all orders, if one defines the model by the Slavnov-Taylor identity
, Ward identities of rigid symmetry, and the specific form of the abel
ian local gauge Ward identity. Special attention is directed to the ma
ss diagonalization of massless and massive neutral vectors and ghosts.
For obtaining off-shell infrared finite expressions it is required to
take into account higher order corrections into the functional symmet
ry operators. It is shown that the normalization conditions of the on-
shell schemes are in agreement with the most general symmetry transfor
mations allowed by the algebraic constraints. (C) 1998 Academic Press.