Large restricted Lie algebras

Restricted Lie Algebras

Cohomology of Restricted Lie Algebras

In this dissertation, we investigate the cohomology theory of restricted Lie algebras. Motivations for the definition of a restricted Lie algebra are given and the theory of ordinary Lie algebra cohomology is briefly reviewed, including a discussion on algebraic interpretations of the low dimensional cohomology spaces of ordinary Lie algebras. The general Cartan-Eilenberg construction of the st...

Deformations of Simple Restricted Lie Algebras I

We compute the infinitesimal deformations of two families of simple restricted modular Lie algebras of Cartan-type: the Witt-Jacobson and the Special Lie algebras.

Deformations of Restricted Simple Lie Algebras I

We compute the infinitesimal deformations of two families of simple restricted modular Lie algebras of Cartan-type: the Witt-Jacobson and the Special Lie algebras.

Deformations of Restricted Simple Lie Algebras Ii

We compute the infinitesimal deformations of two families of restricted simple modular Lie algebras of Cartan-type: the Contact and the Hamiltonian Lie algebras.