Irreducible representations of alternative algebras
✍ Scribed by I. P. Shestakov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1979
- Tongue
- English
- Weight
- 546 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this work a large number of irreducible representations with finite dimensional weight spaces are constructed for some toroidal Lie algebras. To accomplish this we develop a general theory of ޚ n -graded Lie algebras with polynomial multiplication. We construct modules by the standard inducing
We describe an algorithmic test, using the "standard polynomial identity" (and elementary computational commutative algebra), for determining whether or not a finitely presented associative algebra has an irreducible n-dimensional representation. When n-dimensional irreducible representations do exi