๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Simple Lie algebras of type S

โœ Scribed by Robert Lee Wilson


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
368 KB
Volume
62
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Simple Lie Algebras of Witt Type
โœ D.S. Passman ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

Let K be a field, let A be an associative, commutative K-algebra, and let โŒฌ be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m โŒฌ s AโŒฌ 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
โœ Jeffrey Bergen; D.S Passman ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 โŠ— K = A becomes a Lie algebra, a Witt type algebra. In addition, there is a map div: A โ†’ A called the divergence and i

Simple Lie Color Algebras of Witt Type
โœ D.S Passman ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 305 KB

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

Derivation-Simple Algebras and the Struc
โœ Yucai Su; Xiaoping Xu; Hechun Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 146 KB

We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional locally finite Abelian derivation subalgebra such that the commutative associative algebra is derivation-simple with respect to the derivation subalgebra over an algebraically closed fi

Finitary Simple Lie Algebras
โœ A.A. Baranov ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

An algebra is called finitary if it consists of finite-rank transformations of a vector space. We classify finitary simple Lie algebras over a field of characteristic 0. We also describe finitary irreducible Lie algebras.