✦ LIBER ✦

Simple lie color algebras of weyl type

✍ Scribed by Yucai Su; Kaiming Zhao; Linsheng Zhu

Book ID: 105608152
Publisher: The Hebrew University Magnes Press
Year: 2003
Tongue: English
Weight: 556 KB
Volume: 137
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02785957

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Simple Lie Color Algebras of Witt Type

✍ D.S Passman 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 305 KB

Let K be a field and let : ⌫ = ⌫ ª K ⅷ be a bicharacter defined on the multiplicative group ⌫. We suppose that A is a ⌫-graded, associative K-algebra that is color commutative with respect to . Furthermore, let ⌬ be a nonzero ⌫-graded, K-vector space of color derivations of A and suppose that ⌬ is a

Simple algebras of Weyl type

✍ Yucai Su; Kaiming Zhao 📂 Article 📅 2001 🏛 SP Science China Press 🌐 English ⚖ 436 KB

Simple Lie color algebras from graded as

Simple Lie color algebras from graded associative algebras

✍ Kaiming Zhao 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 232 KB

In this paper, a complete generalization of Herstein's theorem to the case of Lie color algebras is obtained. Let G be an abelian group, F a field of characteristic not 2, : G × G → F \* an antisymmetric bicharacter. Suppose A = g∈G A g is a G-graded simple associative algebra over F . ## In this p

Simple Lie algebras of type S

✍ Robert Lee Wilson 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 368 KB

Simple Lie Algebras of Witt Type

✍ D.S. Passman 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 149 KB

Let K be a field, let A be an associative, commutative K-algebra, and let ⌬ be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m ⌬ s A⌬ becomes a Lie algebra and we obtain necessary K and sufficient conditions here for this Lie algebra to be simple

Simple Lie Algebras of Special Type

✍ Jeffrey Bergen; D.S Passman 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 190 KB

Let K be a field, let A be an associative, commutative K-algebra, and let be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A = A ⊗ K = A becomes a Lie algebra, a Witt type algebra. In addition, there is a map div: A → A called the divergence and i