positive root
If is a root system, with an Euclidean vector space, then a subset
is called a set of positive roots if there is a vector such that
if , and if .
http://planetmath.org/node/3645Roots which are not positive are called negative. Since is negative if and only if
is positive, exactly half the must be positive.
Title | positive root |
---|---|
Canonical name | PositiveRoot |
Date of creation | 2013-03-22 13:11:46 |
Last modified on | 2013-03-22 13:11:46 |
Owner | mathwizard (128) |
Last modified by | mathwizard (128) |
Numerical id | 8 |
Author | mathwizard (128) |
Entry type | Definition |
Classification | msc 17B20 |
Defines | negative root |