A168679 - OEIS

A168679

Arises in classification of simply connected Cartan schemes of rank three, where the real roots form a finite irreducible root system.

%I #2 Mar 30 2012 18:40:50

%S 6,7,8,9,9,10,10,11,12,12,13,13,13,13,14,15,16,16,17,17,17,18,18,19,

%T 19,19,19,19,20,20,20,21,21,21,22,25,25,25,25,26,26,27,27,27,28,28,28,

%U 29,29,29,30,31,31,34,37

%N Arises in classification of simply connected Cartan schemes of rank three, where the real roots form a finite irreducible root system.

%C Column 2 of Table 1: Invariants of irreducible root systems of rank three, pp.26-28, of Cuntz. Up to equivalence there are exactly 55 such Cartan schemes, and the number of corresponding real roots varies between 6 and 37.

%H M. Cuntz and I. Heckenberger, <a href="http://arxiv.org/abs/0912.0212">Finite Weyl groupoids of rank three</a>, Dec 01, 2009.

%K fini,full,nonn

%O 1,1

%A _Jonathan Vos Post_, Dec 02 2009