Twisted calculus

Bernard Le Stum (1) , Adolfo Quirós (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Departamento de Matematicas [Madrid]

A twisted ring is a ring endowed with a family of endomorphisms satisfying certain relations. One may then consider the notions of twisted module and twisted differential module. We study them and show that, under some general hypothesis, the categories of twisted modules and integrable twisted differential modules are equivalent. As particular cases, one recovers classical results from the theory of finite difference equations or q-difference equations.

Domaines: Géométrie algébrique [math.AG]

Bernard Le Stum, Adolfo Quirós. Twisted calculus. Communications in Algebra, 2018, 46 (12), pp.5290-5319. ⟨10.1080/00927872.2018.1464168⟩. ⟨hal-01132359⟩