We prove that the scalar and 2 = 2 matrix differential operators which preserve the simplest scalar and vector-valued polynomial modules in two variables have a fundamental Lie algebraic structure. Our approach is based on a general graphical method which does not require the modules to be irreducib
The lie algebraic structure of the set of one–particle fermion operators
✍ Scribed by Brian Weiner
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 868 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0020-7608
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📜 SIMILAR VOLUMES
This paper examines the Lie structure of restricted universal enveloping algebras \(u(L)\) over fields of characteristic \(p>0\). It is determined precisely when \(u(L)\), considered as a Lie algebra, is soluble (for \(p>2\) ), nilpotent, or satisfies the Engel condition. 1993 Acadernic Press. Inc.
If is a split Lie algebra, which means that is a Lie algebra with a root decomposition = + α∈ α , then the roots of can be classified into different types: a root α ∈ is said to be of nilpotent type if all subalgebras x α x -α = span x α x -α x α x -α for x ±α ∈ ±α are nilpotent, and of simple type