# Equivariant one-parameter deformations of associative algebra morphisms

## TL;DR

This paper develops an equivariant deformation theory for associative algebra morphisms, introducing a new cohomology framework to study how these morphisms deform under symmetry constraints.

## Contribution

It presents the first equivariant deformation cohomology for associative algebra morphisms, extending classical deformation theory to incorporate symmetry considerations.

## Key findings

- Defined equivariant deformation cohomology for algebra morphisms
- Analyzed the deformation theory within the equivariant setting
- Provided tools for studying symmetric deformations of algebraic structures

## Abstract

In this article, we introduce equivariant formal deformation theory of associative algebra morphisms. We introduce an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms.