A055614 Number of isomorphism classes of complex filiform Lie algebras of dimension n.

1, 1, 2, 5, 8, 19, 38

Offset

3,3

References

J. M. Ancochea-Bermudez and M. Goze, Classification des algebras de Lie filiformes de dimension 8, Archiv. Math., 50 (1988), 511-525.

J. R. Gomez, M. Goze and Yu. Khakimdjanov, On the k-Abelian filiform Lie algebras, Comm. Algebra, 25 (1997), 431-450.

Gomez, J. R.; Jimenez-Merchan, A.; and Khakimdjanov, Y.; Classifying filiform Lie algebras with Mathematica. Innovation in mathematics (Rovaniemi, 1997), 169-176, Comput. Mech., Southampton, 1997.

Gomez, J. R.; Jimenez-Merchan, A.; and Khakimdjanov, Y.; Low-dimensional filiform Lie algebras. J. Pure Appl. Algebra 130 (1998), no. 2, 133-158.

M. Goze and Yu. Khakimdjanov, Nilpotent and solvable Lie algebras, pp. 615-663 of M. Hazewinkel, ed., Handbook of Algebra, Vol. 2, Elsevier, 2000.

Links

Table of n, a(n) for n=3..9.

Crossrefs

Sequence in context: A192780 A320295 A277263 * A243094 A076870 A127281

Adjacent sequences: A055611 A055612 A055613 * A055615 A055616 A055617

Keyword

nonn

Author

N. J. A. Sloane, Jun 04 2000

Extensions

Apparently two more terms are known.

Status

approved