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.
Simple Multilinear Algebras, Rectangular Matrices and Lie Algebras
โ Scribed by X.R. Shen; J.D.H. Smith
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 375 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
The paper investigates simple multilinear algebras, known as comtrans algebras, that are determined by Lie algebras and by pairs of matrices. The two classes of algebras obtained in this way separate, except for the vector triple product algebra. (\quad 1993) Academic Press, Inc.
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