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In this talk we describe very briefly how Gritsenko and Nikulin classified in\cite{3} the generalised Cartan matrices of rank 3, of elliptic type (so theyhave the generalised lattice Weyl vector), which are twisted to symmetricgeneralised Cartan matrices. We then introduce a conjecture on thisclassification and propose an algorithm for attacking it. The author would liketo thank prof. V.V. Nikulin for giving him the opportunity to study thissubject.

Research talk: On the Classification of Generalized Cartan Matrices of Rank 3