Basic questions for general algebras
β Scribed by Peter Perkins
- Publisher
- Springer
- Year
- 1984
- Tongue
- English
- Weight
- 350 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0002-5240
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Presented here is a construction of certain bases of basic representations for classical affine Lie algebras. The starting point is a β«-ήβ¬grading α s α q α q α y1 0 1 of a classical Lie algebra α and the corresponding decomposition α s α q α q ΛΛα»Ή 1 0 α of the affine Lie algebra α. By using a genera
## Abstract It is shown that the secondβorder theory of a Dedekind algebra is categorical if it is finitely axiomatizable. This provides a partial answer to an old and neglected question of Fraenkel and Carnap: whether every finitely axiomatizable semantically complete secondβorder theory is catego
We provide two certificates of convexity for arbitrary basic closed semi-algebraic sets of R n . The first one is based on a necessary and sufficient condition whereas the second one is based on a sufficient (but simpler) condition only. Both certificates are obtained from any feasible solution of a
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