Classification of derivation-simple color algebras related to locally finite derivations

Details Classification of derivation-simple color algebras related to locally finite derivations Classification of derivation-simple color algebras related to locally finite derivations

2004-02-26

arxiv.org/abs/math/0402422v1

J. Math. Phys., 45 (2004), 525--536

Mathematics

Quantum Algebra

15 pages

Scientific paper

We classify the pairs $(A,D)$ consisting of an $(\epsilon,\Gamma)$-olor-commutative associative algebra $A$ with an identity element over an algebraically closed field $F$ of characteristic zero and a finite dimensional subspace $D$ of $(\epsilon,\Gamma)$-color-commutative locally finite color-derivations of $A$ such that $A$ is $\Gamma$-graded $D$-simple and the eigenspaces for elements of $D$ are $\Gamma$-graded. Such pairs are the important ingredients in constructing some simple Lie color algebras which are in general not finitely-graded. As some applications, using such pairs, we construct new explicit simple Lie color algebras of generalized Witt type, Weyl type.

Affiliated with

Also associated with

No associations

Rating

Classification of derivation-simple color algebras related to locally finite derivations 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 Classification of derivation-simple color algebras related to locally finite derivations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of derivation-simple color algebras related to locally finite derivations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-130372