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Results tagged with root-systems
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user 15441
7
votes
Number of triples of roots (of a simply-laced root system) which sum to zero
There is another approach by the strange formula of Freudenthal and de Vries, which states that $h^\vee d = 12 \rho^2$ where the Weyl vector $\rho$ is one half of the sum of positive roots. The long …
- 191
2
votes
0
answers
863
views
dual Coxeter number, affine algebra, invariants under twisting
Sometime ago we came across invariant quantities under twisting of all affine algebra. (See the appendix E of http://arxiv.org/abs/hep-th/0403076 .) Choose the convention so that the longest root has …
- 191