Deformation Theory of Dialgebra Morphisms

Deformation Theory of Dialgebra Morphisms

An algebraic deformation theory of dialgebra morphisms is obtained.

Deformation theory of representable morphisms of algebraic stacks

We study the relationship between the deformation theory of representable 1-morphisms between algebraic stacks and the cotangent complex defined by Laumon and Moret-Bailly.

Deformation of Dual Leibniz Algebra Morphisms

An algebraic deformation theory of morphisms of dual Leibniz algebras is obtained.

Arithmetic Deformation Theory of Lie Algebras

This paper is devoted to deformation theory of graded Lie algebras over Z or Zl with finite dimensional graded pieces. Such deformation problems naturally appear in number theory. In the first part of the paper, we use Schlessinger criteria for functors on Artinian local rings in order to obtain universal deformation rings for deformations of graded Lie algebras and their graded representations...

Coincidence theory for compact morphisms