Rings with involution whose symmetric elements are central

Rings with involution whose symmetric elements are central

In a ring R with involution whose symmetric elements S are central, the skew-symmetric elements K form a Lie algebra over the commutative ring S. The classification of such rings which are 2-torsion free is equivalent to the classification of Lie algebras K over S equipped with a bilinear form f tha...

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Bibliographic Details
Main Author: Taw Pin Lim
Format: Article
Language:English
Published: Hindawi Limited 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
ring with involution
symmetric and skew-symmetric elements
Lie algebra
symmetric and invariant bilinear form
Cartan's criterion of semisimplicity of Lie algebras
pure quaternions
mutually orthogonal abelian Lie ideals.
Online Access:http://dx.doi.org/10.1155/S0161171280000178

Internet

http://dx.doi.org/10.1155/S0161171280000178

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