Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type

Details Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type

2000-01-30

arxiv.org/abs/math/0001178v1

Mathematics

Quantum Algebra

20pages, Latex file; To appear in Journal of Algebra

Scientific paper

We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional commutative locally-finite derivation subalgebra such that the commutative associative algebra is derivation-simple with respect to the derivation subalgebra over an algebraically closed field with characteristic 0. Such pairs are the fundamental ingredients for constructing generalized simple Lie algebras of Cartan type. Moreover, we determine the isomorphic classes of the generalized simple Lie algebras of Witt Type. The structure space of these algebras is given explicitly.

Affiliated with

Also associated with

No associations

Rating

Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-249467