Can I read Cohomology and Deformations of left-symmetric Rinehart Algebras on EtoBox?

Cohomology and Deformations of left-symmetric Rinehart Algebras by Hassine, A. Ben; Chtioui, T.; Elhamdadi, M.; Mabrouk, S. is a scholarly article available to read on EtoBox.

What is Cohomology and Deformations of left-symmetric Rinehart Algebras about?

We introduce a notion of left-symmetric Rinehart algebras, which is a generalization of a left-symmetric algebras. The left multiplication gives rise to a representation of the corresponding sub-adjacent Lie-Rinehart algebra. We construct left-symmetric Rinehart algebra from O-operators on Lie-Rinehart algebra. We extensively investigate representations of a left-symmetric Rinehart algebras. Moreover, we study deformations of left-symmetric Rinehart algebras, which is controlled by the second cohomology class in the deformation cohomology. We also give the relationships between O-operators and Nijenhuis operators on left-symmetric Rinehart algebras.

Author

Hassine, A. Ben; Chtioui, T.; Elhamdadi, M.; Mabrouk, S.

Published

2020

Language

EN