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Domestic canonical algebras and simple Lie algebras

โœ Scribed by Hideto Asashiba


Publisher
Springer-Verlag
Year
2007
Tongue
French
Weight
657 KB
Volume
259
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES


Simple Multilinear Algebras, Rectangular
โœ X.R. Shen; J.D.H. Smith ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 375 KB

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.

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.

Simple Lie Algebras and Graphs
โœ J.J. Rotman; P.M. Weichsel ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 603 KB

Kaplansky introduced several classes of central simple Lie algebras in characteristic 2. We view these algebras in terms of graphs, and we classify them using a theorem of Shult characterizing graphs with the "cotriangle condition"; there is also a connection with Fischer's theorem on groups generat

Simple Lie color algebras from graded as
โœ Kaiming Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 ร— G โ†’ F \* an antisymmetric bicharacter. Suppose A = gโˆˆG A g is a G-graded simple associative algebra over F . ## In this p