A strict Positivstellensatz for enveloping algebras
✍ Scribed by Konrad Schmüdgen
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- French
- Weight
- 78 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
We observe that any finite-dimensional indecomposable module for a restricted Lie algebra over an algebraically closed field is a module for a finite-dimensional quotient of the universal enveloping algebra. These algebras form a two-parameter family which generalizes the notion of a reduced envelop
Let θ be an involution of a semisimple Lie algebra g, let g θ denote the fixed Lie subalgebra, and assume the Cartan subalgebra of g has been chosen in a suitable way. We construct a quantum analog of U g θ which can be characterized as the unique subalgebra of the quantized enveloping algebra of g