Root system

Dual root system

Let be a root system. To any root one associated a coroot geo

and the set of all coroots forms the dual root system, whose Weyl group is canonically isomorphic to that of .¹

Proof

proof

---

develop | en | sembr

Footnotes

1. 1972. Introduction to Lie algebras and representation theory, §9.2, p. 43 ↩