Cohomology and its applications on multiplicative Hom-$ \delta $-Jordan Lie color triple systems

Abstract

The theory of cohomologies on multiplicative Hom-$ \delta $-Jordan Lie color triple systems is given. As an application, deformations and extensions on the multiplicative Hom-$ \delta $-Jordan Lie color triple system are characterized in view of relevant cohomology.

Keywords

• multiplicative hom-$ \delta $-jordan lie color triple system
• cohomology
• deformation
• abelian extension