๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Simple Lie algebras and Lie algebras of maximal class

โœ Scribed by Aner Shalev


Publisher
Springer
Year
1994
Tongue
English
Weight
257 KB
Volume
63
Category
Article
ISSN
0003-889X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Graded Lie Algebras of Maximal Class, II
โœ A Caranti; M.F Newman ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

We describe the isomorphism classes of infinite-dimensional N-graded Lie algebras of maximal class over fields of odd characteristic generated by their first homogeneous component.

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 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.