A168679 Arises in classification of simply connected Cartan schemes of rank three, where the real roots form a finite irreducible root system.

6, 7, 8, 9, 9, 10, 10, 11, 12, 12, 13, 13, 13, 13, 14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 25, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 28, 29, 29, 29, 30, 31, 31, 34, 37

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..55.

M. Cuntz and I. Heckenberger, Finite Weyl groupoids of rank three, Dec 01, 2009.

Crossrefs

Sequence in context: A153604 A324031 A248418 * A102304 A114459 A168096

Adjacent sequences: A168676 A168677 A168678 * A168680 A168681 A168682

Keyword

fini,full,nonn

Author

Jonathan Vos Post, Dec 02 2009

Status

approved