In this paper, we examine a class of algebras which includes Lie algebras, Lie color algebras, right alternative algebras, left alternative algebras, antiassociative Ε½ . algebras, and associative algebras. We call this class of algebras β£, β€, β₯ -algebras and we examine gradings of these algebras by
Group Gradings on Associative Algebras
β Scribed by Yu.A Bahturin; S.K Sehgal; M.V Zaicev
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 161 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We study G-gradings of the matrix ring M k , k a field, and give a complete n description of the gradings where all the elements e are homogeneous, called i, j good gradings. Among these, we determine the ones that are strong gradings or < < crossed products. If G is a finite cyclic group and k cont
The graded Lie algebra L associated to the Nottingham group is a loop algebra Γ΄f the Witt algebra W . The universal covering W of W has one-dimensional 1 1 1 Δentre, so that the corresponding loop algebra M of W has an infinite-dimen-1 Ε½ . Ε½ . sional centre Z M . As MrZ M is isomorphic to L, it foll
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