We work over an

algebraically closed field of arbitrary characteristic throughout this paper.

In a three-volume work, Strade classifies the simple Lie algebras over an

algebraically closed field of characteristic p equal to or larger than 3, in the sense that he presents a list of simple Lie algebras and a proof that this list is complete.

Throughout H is a d-dimensional semisimple Hopf algebra over an

algebraically closed field k of characteristic 0 and H* is its dual which is a semisimple Hopf algebra as well.

Poonen, Isomorphism types of commutative algebras of finite rank over an

algebraically closed field, K.

Throughout this paper, k is an

algebraically closed field, A is a finite dimensional k-algebra.

Specific examples of such classes are: the class of rings or the class of

algebraically closed fields.

of Newfoundland, Canada) introduce theory of gradings on Lie algebras, with a focus on classifying gradings on simple finite-dimensional Lie algebras over

algebraically closed fields.

Now let K denote an

algebraically closed field of characteristic 0 with K[x] the corresponding polynomial ring and

The equation (24) admits certainly a solution, in the body C

algebraically closed.

Let n be a positive integer, and let V be a 2n-dimensional vector space over an

algebraically closed field K of characteristic 0.

Thus we may assume that R is centrally closed over C which is either finite or

algebraically closed and f(x, y) = 0 for all x, y [member of] R.

Throughout this paper K is an

algebraically closed field of characteristic 0.