Homotopy Gerstenhaber structure is shown to exist on the deformation complex of a morphism of associative algebras. The main step of the construction is extension of a B-infinity algebra by an associative algebra. Actions of B-infinity algebras on associative and B-infinity algebras are analyzed, extensions of B-infinity algebras by associative and B-infinity algebras, that they act upon, are constructed. The resulting homotopy Gerstenhaber algebra on the deformation complex of a morphism is shown to be quasi-isomorphic to the algebra on deformation complex of the corresponding diagram algebra. L-infinity structure is described on the Hochschild complex of a morphism.

Last modified

• 06/27/2018

Creator

• Dennis Borisov

DOI

• https://doi.org/10.21985/N2JM7B

Subject

• Mathematics

Keyword

• associative algebras
• Deformations

Date created

• 2007-05-07

Resource type

• Dissertation

Rights statement

• In Copyright