Description of the structure of DG--algebras via characters on a groupoid
Andronick Arutyunov, Oleg Muravev
Published: 2025/3/9
Abstract
We construct a description of graded derivations in group algebras. Using this result for arbitrary graduation of the group algebra, we describe all possible structures of DG algebras. The corresponding examples are given. The description is given in terms of characters on a groupoid analogous to the groupoid of inner action.