Jordan Gradings on Associative Algebras
✍ Scribed by Yuri Bahturin; Matej Brešar; Ivan Shestakov
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 387 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1386-923X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, we examine a class of algebras which includes Lie algebras, Lie color algebras, right alternative algebras, left alternative algebras, antiassociative Ž . algebras, and associative algebras. We call this class of algebras ␣, , ␥ -algebras and we examine gradings of these algebras by
If R is a G-graded associative algebra, where G is an abelian group and ⑀ is a bicharacter for G, then R also has the structure of a Jordan color algebra. In addition, if R is endowed with a color involution ), then the symmetric elements S under ) are also a Jordan color algebra. Generalizing resul