Exterior square of a Lie ring: Difference between revisions
(Created page with "==Definition== Suppose <math>L</math> is a Lie ring. The '''exterior square''' of <math>L</math>, denoted <math>L \wedge L</math> or <math>\bigwedge^2 L</math>, is define...") |
No edit summary |
||
| Line 6: | Line 6: | ||
* [[Exterior square of a group]] | * [[Exterior square of a group]] | ||
* [[Tensor square of a Lie ring]] | |||
* [[Tensor square of a group]] | |||
Revision as of 01:22, 22 January 2013
Definition
Suppose is a Lie ring. The exterior square of , denoted or , is defined as the exterior product of with itself, viewing it as two copies of itself in itself (in general, the exterior product is defined for two possibly equal ideals inside a Lie ring).