Extending structures for 3-Lie algebras

Abstract

The cohomology and deformation theory of 3-Lie algebras are revisited. The theory of extending structures and unified product for 3-Lie algebras are developed.It is proved that the extending structures of 3-Lie algebras can be classified by using some non-abelian cohomology and deformation map theory.

arXiv comment35pages, some misprints corrected. arXiv admin note: text overlap with arXiv:1307.2540 by other authors