He was the son of Albert IV, baron of la Tour-du-Pin, and of Béatrice de Coligny (herself the daughter of Hugh I, lord of Coligny and of Béatrice d'Albon, dauphine of Viennois).
"Luserna" more probably refers to Luserna in the Piedmont, rich and populous in Peire’s time, a town on the left bank of the Pellice lying on the road into the Viennois and Dauphiné, Occitan-speaking territories.
Lothair II, his heir, received only the western Lower Burgundian parts (bishoprics of Lyon, Vienne, Vivarais and Uzès) which were bordering his western Upper Burgundy (remnants of his original Burgundian possessions), while Louis II received the whole rest of the Kingdom of Provence.