Do you think that these differences were result of the socialist victory in 1981?
It played a great role, but it shouldn't be overestimated.
First, we must not forget that there was a "cohabitation" (i.e. the party that controls the Assemblée Nationale, and thus the Premier Ministre and the government, is not the party of the President) bewteen 1986 and 1988, and between 1993 and 1995. During these years, we had a bizarre mix of right and left economic policies. It is also worth noting that after 1983, the government turned away from truly socialist policies in order to implement liberal reforms such as privatization of the highways and so on. The biggest legacy of Mitterrand would be an increase of welfare.
What's truly remarkable is that our following right-wing governments didn't pull a Thatcher on us and tried to maintain a reasonable intervention of the State in the economy.
Mitterrand's presidency was however huge for many social issues : abolition of the death penalty, decriminalization of homosexuality, the authorization of private radio and television stations.