CARTAN MATRICES, DYNKIN DIAGRAMS AND CLASSIFICATION YOUR NAME HERE 18.099 18.06 CI.

    @inproceedings{CARTANMD,
      title={CARTAN MATRICES, DYNKIN DIAGRAMS AND CLASSIFICATION YOUR NAME HERE 18.099 18.06 CI.},
      author={}
    }
      Write a paper proving the statements and working through the examples formulated below. Add your own examples, asides and discussions whenever necessary. Let V be a Euclidean space, that is a finite dimensional real linear space with a symmetric positive definite inner product �, �. Recall that for a root system Δ in V , there exists a simple root system Π ⊂ Δ (not unique), which is a basis in V , and a positive root system Δ + such that any positive root is a linear combination of simple roots… CONTINUE READING