He was one of the representatives of modernity in the German Democratic Republic, whose great major works can be found in the areas of opera, symphony and chamber music.
Treibmann, was born in 1936 as the son of an elementary school teacher and a housewife in Raun [de] (Vogtland).
In 1959/60 Treibmann worked as a music teacher at the Polytechnic Secondary School in Zschortau [de] and from 1960 to 1966 at the Friedensoberschule in Delitzsch.
Treibmann wrote his doctoral dissertation in 1966 (in addition to his then teaching activities) at the Philological Faculty about the composer and music educator Helmut Bräutigam.
In 1966 he became scientific assistant in the Artistic Practice Department of the Institute of Musicology of the University of Leipzig [de] and in 1969 he became a lecturer for music theory.
During his time as a teacher, he was a county music advisor at the department of popular education of the council of the district of Delitzsch.