DIFFERENTIAL GRADED LIE GROUPS AND THEIR DIFFERENTIAL GRADED LIE ALGEBRAS

In this paper we discuss the question of integrating differential graded Lie algebras (DGLA) to groups (DGLG). We first recall classical problem integration in context, and recollect known results. Then, define category study its properties. show how associate a algebra every group vice versa. For DGLA ? DGLG direction, main “tools” are Hopf Harish-Chandra pairs (HCP)—we HCPs explain those related desired construction. describe some near-at-hand examples mention possible generalizations.